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1.

図書

図書
А.И. Маркушевич
出版情報: Москва : Наука, Глав. ред. физико-математическо й лит-ры, 1966  387 p. ; 23 cm
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2.

図書

図書
A.F. Beardon
出版情報: Chichester [Eng.] ; New York : Wiley, c1979  xiii, 239 p. ; 23 cm
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3.

図書

図書
Manfred Kracht, Erwin Kreyszig
出版情報: New York : Wiley, c1988  xiv, 394 p. ; 24 cm
シリーズ名: Canadian Mathematical Society series of monographs and advanced texts
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4.

図書

図書
William R. Derrick
出版情報: Belmont, Calif. : Wadsworth International Group, c1984  xiii, 347 p. ; 25 cm
シリーズ名: The Wadsworth mathematics series
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5.

図書

図書
George Polya, Gordon Latta
出版情報: New York : Wiley, c1974  xiv, 327 p. ; 24 cm
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6.

図書

図書
Reinhold Remmert
出版情報: Berlin ; Tokyo : Springer, 1984-1991  v. <1-2 > ; 24 cm
シリーズ名: Grundwissen Mathematik ; 5-6
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7.

図書

図書
by Ruel V. Churchill, James W. Brown and Roger F. Verhey
出版情報: New York : McGraw-Hill, c1974  x, 332 p. ; 23 cm
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8.

図書

図書
D.E. Lerner & P.D. Sommers (editors)
出版情報: San Francisco ; London : Pitman, 1979  [8], 242 p. ; 25 cm
シリーズ名: Research notes in mathematics ; 32
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9.

図書

図書
Dieter Gaier ; translated by Renate McLaughlin
出版情報: Boston : Birkhäuser, c1987  ix, 196 p. ; 25 cm
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10.

図書

図書
Peter Henrici
出版情報: New York : Wiley, c1974  xv, 682 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; . Applied and computational complex analysis / Peter Henrici ; v. 1
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11.

図書

図書
Peter Henrici
出版情報: New York : Wiley, c1977  ix, 662 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; . Applied and computational complex analysis / Peter Henrici ; v. 2
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12.

図書

図書
Zane C. Motteler
出版情報: New York : Intext Educational Publishers, c1975  xi, 307 p. ; 24 cm
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13.

図書

図書
Carl Ludwig Siegel
出版情報: New York ; London : Academic Press, 1964  86 p. ; 24 cm
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14.

図書

図書
Stephen D. Fisher
出版情報: New York : Wiley, c1983  xiii, 269 p. ; 24 cm
シリーズ名: Pure and applied mathematics
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目次情報: 続きを見る
Notation and Numbering
The Dirichlet Problem and Harmonic Measure / 1:
Introduction / 1.1:
The Poisson Formula and Some Preliminaries / 1.2:
Subharmonic Functions / 1.3:
Solution of the Dirichlet Problem / 1.4:
The Green's Function of a Domain / 1.5:
Harmonic Measure / 1.6:
Logarithmic Capacity / 1.7:
Additional Readings and Notes
Exercises
Uniformization and Conditional Expectation / 2:
The Uniformization Theorem / 2.1:
Conditional Expectation and the Space N / 2.3:
Harmonic Measure and L[superscript 1]/[Characters not reproducible] / 2.4:
The Hardy Spaces H[superscript p]([Omega]) / 3:
Basic Properties of H[superscript p]([Omega]) / 3.1.:
H[superscript p] on the Unit Disc / 3.3.:
H[superscript p] and H[superscript p]([Omega]) / 3.4.:
Null Sets and Essential Boundary Points for H[superscript Infinity]([Omega]) / 3.5.:
H[superscript p]([Omega]) Determines [Omega] / 3.6.:
Weak Peak Points for H[superscript Infinity]([Omega]) / 3.7.:
Domains of Finite Connectivity / 4:
The Defect of ReR([Omega]) in C[subscript 1]([Gamma]) / 4.1:
Measures Orthogonal to R([Omega]) / 4.3:
H[superscript p]([Omega]) / 4.4:
N Again / 4.5:
Functions with Periods / 4.6:
The Factorization of H[superscript p]([Omega]) Functions / 4.7:
Blaschke Products, Inner Functions, and Extremal Problems / 5:
The Ahlfors Function / 5.1:
Blaschke Products / 5.2:
Approximation by Inner Functions / 5.3:
Pick-Nevanlinna Interpolation / 5.4:
Interpolation Sequences / 5.5:
The Maximum Principle for Multiple-Valued Bounded Analytic Functions / 5.6:
The Maximal Ideal Space of H[superscript Infinity]([Omega]) / 6:
Peak Points and Parts / 6.1:
The Fibers of M([Omega]) / 6.3:
Distinguished Homomorphisms / 6.4:
The Shilov Boundary of H[superscript Infinity]([Omega]) / 6.5:
The Corona Theorem / 6.6:
Linear Operators on H[superscript p] Spaces / 7:
The Isometries of H[superscript p]([Omega]) / 7.1:
Self-Mappings of a Domain / 7.2:
General Properties of Composition Operators / 7.3:
Compact Composition Operators on H[superscript Infinity]([Omega]) / 7.4:
Optimal Estimation and Widths of Spaces of Holomorphic Functions: Part 1. The H[superscript Infinity] Case / 7.5:
Optimal Estimation and Widths of Spaces of Holomorphic Functions: Part 2. The H[superscript 2] Case / 7.6:
Bibliography
Index
Notation and Numbering
The Dirichlet Problem and Harmonic Measure / 1:
Introduction / 1.1:
15.

図書

図書
Editors, Thomas Peternell, Frank-Olaf Schreyer
出版情報: Berlin : Walter de Gruyter, 2000  x, 406 p. ; 25 cm
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目次情報: 続きを見る
Almost-lines and quasi-lines on projective manifolds / Lucian Badescu ; Mauro C. Beltrametti ; Paltin Ionescu
Transfert de metrique / Daniel Barlet ; Jon Magnusson
On the classification of K3 surfaces with nine cusps / Wolf P. Barth
Complex manifolds with split tangent bundle / Arnaud Beauville
Projections from subvarieties / Alan Howard ; Michael Schneider ; Andrew J. Sommese
Generalized Petersson-Weil metric on the Douady space of embedded manifolds / Indranil Biswas ; Georg Schumacher
On simply connected Godeaux surfaces / Fabrizio Catanese ; Roberto Pignatelli
On the Wahl map of plane nodal curves / Ciro Ciliberto ; Angelo Felice Lopez ; Rick Miranda
A remark on projective embeddings of varieties with non-negative cotangent bundles / Lawrence Ein ; Bo Ilic ; Robert Lazarsfeld
The fundamental group's structure of the complement of some configurations of real line arrangements / David Garber ; Mina Teicher
Kahlerian structures on symplectic reductions / Peter Heinzner ; Alan Huckleberry
Nef divisors on moduli spaces of abelian varieties / Klaus Hulek
Abelian surfaces with two plane cubic curve fibrations and Calabi-Yau threefolds / Kristian Ranestad
Real algebraic threefolds IV. Del Pezzo fibrations / Janos Kollar
Seiberg-Witten invariants for 4-manifolds with b+ = 0 / Christian Okonek ; Andrei Teleman
A geometric proof of Ax' theorem / Jeroen G. Spandaw
A note on the Cayley-Bacharach property for vector bundles / Sheng-Li Tan ; Eckart Viehweg
The scientific work of Michael Schneider / Thomas Peternell
Michael Schneider-an alpine vita / Ulf Persson
Lectures of the Symposium
List of Authors and Participants
Almost-lines and quasi-lines on projective manifolds / Lucian Badescu ; Mauro C. Beltrametti ; Paltin Ionescu
Transfert de metrique / Daniel Barlet ; Jon Magnusson
On the classification of K3 surfaces with nine cusps / Wolf P. Barth
16.

図書

図書
Steven G. Krantz
出版情報: Boston, Mass. : Birkhäuser, c1999  xxiv, 290 p. ; 24 cm
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17.

図書

図書
Sanford S. Miller, Petru T. Mocanu
出版情報: New York : Marcel Dekker, c2000  xi, 459 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 225
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目次情報: 続きを見る
Preface
Preliminaries / Chapter 1:
A Short History / 1.1.:
Basic Definitions and Results / 1.2.:
Subordination / a.:
Hypergeometric Functions / b.:
Classes of Functions / c.:
Integral Operators / d.:
Theory of Second-Order Differential Subordinations / Chapter 2:
Introduction / 2.1.:
Fundamental Lemmas / 2.2.:
Admissible Functions and Fundamental Theorems / 2.3.:
Examples / 2.4.:
The Open Door Lemma and the Integral Existence Theorem / 2.5.:
Classical Results of Geometric Function Theory Revisited / 2.6.:
Applications of First-Order Differential Subordinations / Chapter 3:
First- Order Linear Differential Subordinations / 3.1.:
Briot-Bouquet Differential Subordinations / 3.2.:
Briot-Bouquet Applications in Univalent Function Theory / 3.3.:
Generalized Briot-Bouquet Differential Subordinations / 3.4.:
Analytic Integral Operators Between Classes of Functions / 3.5.:
Subordination-Preserving Integral Operators / 3.6.:
Applications of Second-Order Differential Subordinations / Chapter 4:
Second-Order Linear Differential Subordinations / 4.1.:
Integral Operators Preserving Functions With Positive Real Part / 4.2.:
Integral Operators Preserving Bounded Functions / 4.3.:
Averaging Integral Operators / 4.4.:
The Schwarzian and Starlikeness / 4.5.:
Special Differential Subordinations / Chapter 5:
Conditions for Special Subclasses of Starlike Functions / 5.1.:
Simple Conditions for Starlikeness and Convexity / 5.2.:
On a Theorem of Robertson / 5.3.:
Subordination by Convex Functions / 5.4.:
Functions with Bounded Turning and Starlike Functions / 5.5.:
Functions Starlike with Respect to Symmetric Points / 5.6.:
Higher Order Differential Subordinations / Chapter 6:
Third-Order Differential Subordinations / 6.1.:
The Euler Nth-Order Differential Subordination / 6.3.:
Differential Subordinations of Several Complex Variables / Chapter 7:
Preliminary Lemmas / 7.1.:
Extensions of the Fundamental Lemma / 7.2.:
Dominants and Admissible Functions in C[superscript n] / 7.3.:
Differential Subordinations in C[superscript n] / 7.4.:
Applications of Differential Subordinations in Other Fields / Chapter 8:
Harmonic Functions / 8.1.:
Meromorphic Functions / 8.2.:
Differential Subordinations in the Upper Half-Plane / 8.3.:
Extensions to Banach Spaces / 8.4.:
Convexity of Bernoulli Functions / Appendix:
Bibliography
List of Symbols
Index
Preface
Preliminaries / Chapter 1:
A Short History / 1.1.:
18.

図書

図書
Seán Dineen
出版情報: London ; Berlin : Springer, c1999  xv, 543 p. ; 24 cm
シリーズ名: Springer monographs in mathematics
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19.

図書

図書
edited by Keith M. Ball, Vitali Milman
出版情報: New York : Cambridge University Press, c1999  xx, 236 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 34
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20.

図書

図書
Adhemar Bultheel ... [et al.]
出版情報: New York : Cambridge University Press, 1999  xiv, 407 p. ; 24 cm
シリーズ名: Cambridge monographs on applied and computational mathematics ; 5
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目次情報: 続きを見る
List of symbols
Introduction
Preliminaries / 1:
The fundamental spaces / 2:
The kernal functions / 3:
Recurrence for orthogonal functions / 4:
Quadrature / 5:
Interpolation / 6:
Density of the rational functions / 7:
Favard theorems / 8:
Convergence / 9:
Moment problems / 10:
The boundary case / 11:
Some applications / 12:
Conclusion
Bibliography
The kernel functions
Recurrence and second kind functions
Para-orthogonality and quadrature
Index
List of symbols
Introduction
Preliminaries / 1:
21.

図書

図書
S. Morosawa ... [et al.]
出版情報: Cambridge ; New York : Cambridge University Press, c2000  xi, 338 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; v. 66
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22.

図書

図書
C.A. Berenstein ... [et al.] ; editors, E. Casadio Tarabusi, M.A. Picardello, G. Zampieri
出版情報: Berlin : Springer, c1998  vi, 160 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1684
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23.

図書

図書
Yu. Yu. Trokhimchuk ; translated from Russian [by R. Mandl]
出版情報: Jerusalem : Israel Program for Scientific Translations, 1964  vi, 133 p. ; 25 cm
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24.

図書

図書
Junjiro Noguchi ; translated by Junjiro Noguchi
出版情報: Providence, R.I. : American Mathematical Society, c1998  xi, 250 p. ; 26 cm
シリーズ名: Translations of mathematical monographs ; v. 168
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25.

図書

図書
Reinhold Remmert ; translated by Leslie Kay
出版情報: New York : Springer, c1998  xix, 349 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 172
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目次情報: 続きを見る
Infinite Products and Partial Fraction Series
Infinite Poducts of Holomorphic Functions
The Gamma Function
Entire Functions with Prescribed Zeros
Holomorphic Functions with Prescribed Zeros
Iss'sa's Theorem. Regions of Holomorphy
Functions with Prescribed Principal Parts
Mapping Theory: The Theorems of Montel and Vitali
The Riemann Mapping Theorem
Appendix to Chapter 8 Caratheodory
Koebe Theory
Automorphisms and Finite Inner Maps
Selecta: The Theorems of Bloch, Picard, and Schottky
Boundary Behavior of Power Series
Runge Theory for Compact Sets
Runge Theory for Domains
Invariance of the Number of Holes
Short Biographies
Name
Index Subject
Index
Infinite Products and Partial Fraction Series
Infinite Poducts of Holomorphic Functions
The Gamma Function
26.

図書

図書
by Edouard Goursat ; translated by Earle Raymond Hedrick and Otto Dunkel
出版情報: New York : Dover, 1959  x, 259 p. ; 21 cm
シリーズ名: Dover books on physics and mathematical physics ; A course in mathematical analysis ; v. 2, pt. 1
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27.

図書

図書
Serge Lang
出版情報: New York : Springer, c1999  xiv, 485 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 103
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目次情報: 続きを見る
Basic Theory / I:
Complex Numbers and Functions / 1:
Power Series / 2:
Cauchy's Theorem, First Part / 3:
Winding Numbers and Cauchy's Theorem / 4:
Applications of Cauchy's Integral Formula / 5:
Calculus of Residues / 6:
Conformal Mappings / 7:
Harmonic Functions / 8:
Geometric Function Theory / II:
Schwarz Reflection / 9:
The Riemann Mapping Theorem / 10:
Analytic Continuation Along Curves / 11:
Various Analytic Topics / III:
Applications of the Maximum Modulus Principle and Jensen's Formula / 12:
Entire and Meromorphic Functions / 13:
Elliptic Functions / 14:
The Gamma and Zeta Functions / 15:
The Prime Number Theorem / 16:
Basic Theory / I:
Complex Numbers and Functions / 1:
Power Series / 2:
28.

図書

図書
E.A. Grove, G. Ladas
出版情報: Boston : Houghton Mifflin, [1974]  x, 221 p. ; 25 cm
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29.

図書

図書
Robert E. Greene, Steven G. Krantz
出版情報: New York : J. Wiley, c1997  xiii, 496 p. ; 25 cm
シリーズ名: Pure and applied mathematics
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目次情報: 続きを見る
Fundamental Concepts
Complex Line Integrals
Applications of the Cauchy Integral
Meromorphic Functions and Residues
Zeros of a Holomorphic Function
Holomorphic Functions as Geometric Mappings
Harmonic Functions
Infinite Series and Products
Applications of Infinite Sums and Products
Analytic Continuation
Topology
Rational Approximation Theory
Special Classes of Holomorphic Functions
Hilbert Spaces of Holomorphic Functions, the Bergman Kernel, and Biholomorphic Mappings
Special Functions and the Prime Number Theorem
Appendices
References
Index
Fundamental Concepts
Complex Line Integrals
Applications of the Cauchy Integral
30.

図書

図書
Svante Janson
出版情報: Cambridge, United Kingdom : Cambridge University Press, 1997  x, 340 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 129
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目次情報: 続きを見る
Gaussian Hilbert spaces / 1:
Wiener chaos / 2:
Wick products / 3:
Tensor products and Fock spaces / 4:
Hypercontractivity / 5:
Distributions of variables with finite chaos expansions / 6:
Stochastic integration / 7:
Gaussian stochastic processes / 8:
Conditioning / 9:
Limit theorems for generalized U-statistics / 10:
Applications to operator theory / 11:
Some operators from quantum physics / 12:
The Cameron-Martin shift / 13:
Malliavin calculus / 14:
Transforms / 15:
Appendices
Gaussian Hilbert spaces / 1:
Wiener chaos / 2:
Wick products / 3:
31.

図書

図書
Joseph Bak, Donald J. Newman
出版情報: New York : Springer-Verlag, c1997  x, 294 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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32.

図書

図書
Thomas Ransford
出版情報: Cambridge : Cambridge University Press, 1995  x, 232 p. ; 23 cm
シリーズ名: London Mathematical Society student texts ; 28
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目次情報: 続きを見る
Preface
A word about notation
Harmonic functions / 1:
Subharmonic functions / 2:
Potential theory / 3:
The Dirichlet problem / 4:
Capacity / 5:
Applications / 6:
Borel measures
Bibliography
Index
Glossary of notation
Preface
A word about notation
Harmonic functions / 1:
33.

図書

図書
edited by Rafał Abłamowicz and Pertti Lounesto
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1995  xx, 421 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 321
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34.

図書

図書
Vladislav V. Kravchenko and Michael V. Shapiro
出版情報: Harlow : Longman, 1996  247 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 351
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35.

図書

図書
F. Nevanlinna
出版情報: Basel ; Stuttgart : Birkhäuser, 1965  218 p ; 25 cm
シリーズ名: Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften ; Mathematische Reihe ; Bd. 29
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36.

図書

図書
Liang-shin Hahn, Bernard Epstein
出版情報: Sudbury, Mass. : Jones and Bartlett Publishers, c1996  xiii, 411 p. ; 25 cm
シリーズ名: Jones and Bartlett books in mathematics and computer science
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37.

図書

図書
by A.R. Forsyth
出版情報: Cambridge : Cambridge University press, 1918  xxiv, 855 p. ; 28 cm
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38.

図書

図書
edited by Herbert Clemens and János Kollár
出版情報: Cambridge : Cambridge University Press, 1995  xi, 158 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; v. 28
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39.

図書

図書
Christian Peskine
出版情報: Cambridge [England] : Cambridge University Press, 1996  x, 230 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 47 . An algebraic introduction to complex projective geometry ; 1
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40.

図書

図書
by M.Z.v. Krzywoblocki
出版情報: Wien : Springer-Verlag, 1960  ix, 188 p. ; 28 cm
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41.

図書

図書
Carathéodory, Constantin, 1873-1950
出版情報: Basel : Birkhäuser, 1960-61  2 v. ; 25 cm
シリーズ名: Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften ; Mathematische Reihe ; Bd. 8-9
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42.

図書

図書
A.A. Gonchar, V.P. Havin, N.K. Nikolski, (eds.)
出版情報: Berlin ; New York : Springer-Verlag, c1997  261 p. ; 25 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 85 . Complex analysis ; 1
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目次情報:
Entire and Meromorphic Functions / A.A. Gol'dberg ; B.Ya. Levin ; I.V. Ostrovskii
Polyananalytic Functions and their Generalizations / M.B. Balk
Entire and Meromorphic Functions / A.A. Gol'dberg ; B.Ya. Levin ; I.V. Ostrovskii
Polyananalytic Functions and their Generalizations / M.B. Balk
43.

図書

図書
Gareth A. Jones and David Singerman
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1987  xiv, 342 p. ; 24 cm
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目次情報: 続きを見る
Introduction
The Riemann sphere / 1:
M+ bius transformations / 2:
Elliptic functions / 3:
Meromorphic continuation and Riemann surfaces / 4:
PSL(2,R) and its discrete subgroups / 5:
The modular group / 6:
Appendices
References
Index of symbols
Index of names and definitions
Introduction
The Riemann sphere / 1:
M+ bius transformations / 2:
44.

図書

図書
Theodore V. Hromadka II
出版情報: Berlin ; Tokyo : Springer-Verlag, 1984  xi, 243 p. ; 25 cm
シリーズ名: Lecture notes in engineering ; 9
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45.

図書

図書
Klas Diederich (ed.)
出版情報: Braunschweig : Friedr. Vieweg, c1991  ix, 341 p. ; 23 cm
シリーズ名: Aspects of mathematics = Aspekte der Mathematik ; v. E17
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46.

図書

図書
Steven G. Krantz
出版情報: [Washington, D.C.] : Mathematical Association of America, c1990  xv, 212 p. ; 20 cm
シリーズ名: The Carus mathematical monographs ; no. 23
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目次情報: 続きを見る
Principal ideas of classical function theory / 1:
Basic notions of differential geometry / 2:
Curvature and applications / 3:
Some new invariant metrics / 4:
A glimpse of several complex variables / 5:
Principal ideas of classical function theory / 1:
Basic notions of differential geometry / 2:
Curvature and applications / 3:
47.

図書

図書
Kichoon Yang
出版情報: New York : Marcel Dekker, c1991  viii, 302 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 149
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48.

図書

図書
von G.M. Golusin ; [Übersetzung aus dem Russischen: Doris-Ursula Pirl]
出版情報: Berlin : Deutscher Verlag der Wissenschaften, 1957  xii, 438 p. ; 24 cm
シリーズ名: Hochschulbücher für Mathematik ; Bd. 31
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49.

図書

図書
by L.I. Ronkin
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1992  xii, 392 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; v. 81
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50.

図書

図書
Harold S. Shapiro
出版情報: New York : Wiley, c1992  xi, 108 p. ; 25 cm
シリーズ名: University of Arkansas lecture notes in the mathematical sciences ; v. 9
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目次情報: 続きを見る
The Schwarz Principle of Reflection
The Logarithmic Potential, Balayage, and Quadrature Domains
Examples of "Quadrature Identities"
Quadrature Domains: Basic Properties, 1
Quadrature Domains: Basic Properties, 2
Schwarzian Reflection, Revisited
Projectors from L? (dOmega) to H? (dOmega)
The Friedrichs Operator
Concluding Remarks
Bibliography
Index
The Schwarz Principle of Reflection
The Logarithmic Potential, Balayage, and Quadrature Domains
Examples of "Quadrature Identities"
51.

図書

図書
Mario O. González
出版情報: New York : M. Dekker, c1992  xi, 518 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 152
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52.

図書

図書
Mario O. González
出版情報: New York : M. Dekker, c1992  xiv, 767 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 151
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53.

図書

図書
Stanisław Łojasiewicz ; translated from the Polish by Maciej Klimek
出版情報: Basel ; Boston : Birkhäuser, 1991  xiv, 523 p. ; 24 cm
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54.

図書

図書
B.V. Shabat ; [translated from the Russian by J.S. Joel]
出版情報: Providence, R.I. : American Mathematical Society, c1992  x, 371 p. ; 27 cm
シリーズ名: Translations of mathematical monographs ; v. 110 . Introduction to complex analysis ; pt. 2
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55.

図書

図書
Serge Lang
出版情報: New York ; Tokyo : Springer-Verlag, c1993  xiv, 458 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 103
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目次情報: 続きを見る
Basic Theory / I:
Complex Numbers and Functions / 1:
Power Series / 2:
Cauchy's Theorem, First Part / 3:
Winding Numbers and Cauchy's Theorem / 4:
Applications of Cauchy's Integral Formula / 5:
Calculus of Residues / 6:
Conformal Mappings / 7:
Harmonic Functions / 8:
Geometric Function Theory / II:
Schwarz Reflection / 9:
The Riemann Mapping Theorem / 10:
Analytic Continuation Along Curves / 11:
Various Analytic Topics / III:
Applications of the Maximum Modulus Principle and Jensen's Formula / 12:
Entire and Meromorphic Functions / 13:
Elliptic Functions / 14:
The Gamma and Zeta Functions / 15:
The Prime Number Theorem / 16:
Basic Theory / I:
Complex Numbers and Functions / 1:
Power Series / 2:
56.

図書

図書
Peter Henrici
出版情報: New York : Wiley, 1991, c1977  ix, 662 p. ; 23 cm
シリーズ名: Wiley classics library ; . Applied and computational complex analysis ; v. 2
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目次情報: 続きを見る
Infinite Products
Ordinary Differential Equations
Integral Transforms
Asymptotic Methods
Continued Fractions
Bibliography
Appendix
Index
Infinite Products
Ordinary Differential Equations
Integral Transforms
57.

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図書
Murali Rao, Henrik Stetkær
出版情報: Singapore : World Scientific, c1991  ix, 240 p. ; 23 cm
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58.

図書

図書
A.I. Markushevich
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1965-c1967  v. ; 24 cm
シリーズ名: Selected Russian publications in the mathematical sciences
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59.

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図書
Alan Jeffrey
出版情報: Boca Raton, FL : CRC Press, c1992  viii, 624 p. ; 24 cm
シリーズ名: Advanced engineering mathematics ; v. 2
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60.

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図書
Carlos A. Berenstein, Roger Gay
出版情報: New York : Springer-Verlag, c1991  xii, 650 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 125
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目次情報: 続きを見る
Topology of the Complex Plane and Holomorphic Functions
Analytic Properties of Holomorphic Functions
The a-Equation
Harmonic and Subharmonic Functions
Analytic Continuation and Singularities
References
Notation and Selected Terminology
Index
Topology of the Complex Plane and Holomorphic Functions
Analytic Properties of Holomorphic Functions
The a-Equation
61.

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図書
edited by L. Carleson ... [et al.]
出版情報: Boston ; Berlin : Birkhäuser, c1989  xx, 475 p. ; 27 cm
シリーズ名: Contemporary mathematicians ; . The collected works of Arne Beurling / edited by L. Carleson ... [et al.] ; v. 1
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62.

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図書
edited by L. Carleson ... [et al.]
出版情報: Boston ; Berlin : Birkhäuser, c1989  xx, 389 p. ; 27 cm
シリーズ名: Contemporary mathematicians ; . The collected works of Arne Beurling / edited by L. Carleson ... [et al.] ; v. 2
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63.

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図書
Wilbur R. Le Page
出版情報: Bombay : Tata McGraw-Hill Pub. Co., c1961  xvii, 475 p. ; 24 cm
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64.

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図書
Ian Postlethwaite, Alistair G.J. MacFarlane
出版情報: Berlin ; New York : Springer-Verlag, 1979  iv, 177 p. ; 25 cm
シリーズ名: Lecture notes in control and information sciences ; 12
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65.

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図書
H.A. Priestley
出版情報: Oxford : Clarendon Press , New York : Oxford University Press, 1990  xi, 214 p. ; 24 cm
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目次情報: 続きを見る
The Complex Plane / 1:
Holomorphic Functions and Power Series / 2:
Prelude to Cauchy's Theorem / 3:
Cauchy's Theorem / 4:
Consequences of Cauchy's Theorem / 5:
Singularities and Multifunctions / 6:
Cauchy's Residue Theorem / 7:
Applications of Contour Integration / 8:
Fourier and Laplace Transforms / 9:
Conformal Mapping and Harmonic Functions / 10:
The Complex Plane / 1:
Holomorphic Functions and Power Series / 2:
Prelude to Cauchy's Theorem / 3:
66.

図書

図書
Stephen D. Fisher
出版情報: Pacific Grove, Calif. : Wadsworth & Brooks/Cole Advanced Books & Software, c1990  xiv, 427 p. ; 25 cm
シリーズ名: The Wadsworth & Brooks/Cole mathematics series
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目次情報: 続きを見る
The complex plane / 1:
The complex numbers and the complex plane / 1.1:
A formal view of the complex numbers / 1.1.1:
Some geometry / 1.2:
Subsets of the plane / 1.3:
Functions and limits / 1.4:
The exponential, logarithm, and trigonometric functions / 1.5:
Line integrals and Green's theorem / 1.6:
Basic properties of analytic functions / 2:
Analytic and harmonic functions; the Cauchy-Riemann equations / 2.1:
Flows, fields, and analytic functions / 2.1.1:
Power series / 2.2:
Cauchy's theorem and Cauchy's formula / 2.3:
The Cauchy-Goursat theorem / 2.3.1:
Consequences of Cauchy's formula / 2.4:
Isolated singularities / 2.5:
The residue theorem and its application to the evaluation of definite integrals / 2.6:
Analytic functions as mappings / 3:
The zeros of an analytic function / 3.1:
The stability of solutions of a system of linear differential equations / 3.1.1:
Maximum modulus and mean value / 3.2:
Linear fractional transformations / 3.3:
Conformal mapping / 3.4:
Conformal mapping and flows / 3.4.1:
The Riemann mapping theorem and Schwarz-Christoffel transformations / 3.5:
Analytic and harmonic functions in applications / 4:
Harmonic functions / 4.1:
Harmonic functions as solutions to physical problems / 4.2:
Integral representations of harmonic functions / 4.3:
Boundary-value problems / 4.4:
Impulse functions and the Green's function of a domain / 4.5:
Transform methods / 5:
The Fourier transform: basic properties / 5.1:
Formulas Relating u and u / 5.2:
The Laplace transform / 5.3:
Applications of the Laplace transform to differential equations / 5.4:
The Z-Transform / 5.5:
The stability of a discrete linear system / 5.5.1:
A Table of Conformal Mappings / Appendix 1:
A Table of Laplace Transforms / Appendix 3:
Solutions to Odd-Numbered Exercises
Index
The complex plane / 1:
The complex numbers and the complex plane / 1.1:
A formal view of the complex numbers / 1.1.1:
67.

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図書
Reinhold Remmert ; translated by Robert B. Burckel
出版情報: New York ; Tokyo : Springer-Verlag, c1991  xix, 454 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 122 . Readings in mathematics
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目次情報: 続きを見る
Historical Introduction
Chronological Table
Elements of Function Theory
The Cauchy Theory
Cauchy-Weierstrass-Riemann Function Theory
Short Biographies
Literature
Indices
Historical Introduction
Chronological Table
Elements of Function Theory
68.

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図書
Giovanni Sansone, Johan Gerretsen
出版情報: Groningen : P. Noordhoff, 1960-  2 v. ; 26 cm
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目次情報:
v. 1. Holomorphic functions
v. 2. Geometric theory
v. 1. Holomorphic functions
v. 2. Geometric theory
69.

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図書
[by] V. I. Smirnov and N. A. Lebedev ; translated [from the Russian] by Scripta Technica Ltd
出版情報: London : Iliffe , Cambridge, Mass. : M.I.T. Press, 1968  9, 488 p. ; 23 cm
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70.

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図書
[by] Richard A. Silverman
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, [1973, c1974]  x, 274 p ; 24 cm
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71.

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図書
[by] A.H. England
出版情報: London ; New York : Wiley-Interscience, c1971  x, 181 p. ; 24 cm
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72.

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図書
by Raymond E.A.C. Paley and Norbert Wiener
出版情報: Providence, R.I. : American Mathematical Society, 1934  viii, 184 p. ; 26 cm
シリーズ名: Colloquium publications / American Mathematical Society ; v. 19
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目次情報: 続きを見る
Introduction
Quasi-analytic functions Szasz's theorem Certain integral expansions
A class of singular integral equations Entire functions of the exponential type
The closure of sets of complex exponential functions Non-harmonic
Fourier series and a gap theorem Generalized harmonic analysis in the complex domain
The harmonic analysis of random functions
Bibliography
Index
Introduction
Quasi-analytic functions Szasz's theorem Certain integral expansions
A class of singular integral equations Entire functions of the exponential type
73.

図書

図書
Kehe Zhu
出版情報: New York : M. Dekker, c1990  ix, 258 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 139
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74.

図書

図書
Bruce P. Palka
出版情報: New York ; Tokyo : Springer-Verlag, c1991  xvii, 559 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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目次情報: 続きを見る
The Complex Number System
The Rudiments of Plane Topology
Analytic Functions
Complex Integration
Cauchy's Theorem and its Consequences
Harmonic Functions
Sequences and Series of Analytic Functions
Isolated Singularities of Analytic Functions
Conformal Mapping
Constructing Analytic Functions
Background on Fields / Appendix A:
Winding Numbers Revisited / Appendix B:
Index
The Complex Number System
The Rudiments of Plane Topology
Analytic Functions
75.

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図書
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., c1977  xi, 321 p. ; 24 cm
シリーズ名: Addison-Wesley series in mathematics
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76.

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図書
editors of the volume, Julian Ławrynowicz, Józef Siciak
出版情報: Warszawa : PWN-Polish Scientific Publishers, 1983  362 p. ; 25 cm
シリーズ名: Banach Center publications ; v. 11
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77.

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図書
J.H. Curtiss
出版情報: New York : M. Dekker, c1978  xv, 394 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 44
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78.

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図書
Robert P. Gilbert
出版情報: New York : Academic Press, 1969  xviii, 311 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 54
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79.

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図書
edited by Joseph Hersch and Alfred Huber
出版情報: Basel ; Boston : Birkhäuser Verlag, 1988  xii, 245 p. ; 24 cm
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80.

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図書
[by] Peter Colwell [and] Jerold C. Mathews
出版情報: Columbus, Ohio : Merrill, 1973  viii, 214 p ; 24 cm
シリーズ名: Merrill mathematics series
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81.

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図書
Walter Rudin
出版情報: New York : W.A. Benjamin, 1969  188 p. ; 24 cm
シリーズ名: Mathematics lecture note series
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82.

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図書
Maurice Heins
出版情報: New York : Academic Press, 1968  xv, 416 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 28
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83.

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図書
A. Kyrala
出版情報: New York : Wiley-Interscience, c1972  xix, 374 p. ; 24 cm
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84.

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図書
Rolf Nevanlinna, V. Paatero ; translated by T. Kövari and G.S. Goodman
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., c1969  ix, 348 p. ; 24 cm
シリーズ名: Addison-Wesley series in mathematics / Eric Reissner, consulting editor
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85.

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図書
[by] Jerrold E. Marsden, with the assistance of Michael Buchner, Michael Hoffman [and] Clifford Risk
出版情報: San Francisco : W. H. Freeman, [1973]  x, 472 p ; 24 cm
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目次情報: 続きを見る
Preface
Analytic Functions / 1:
Introduction to Complex Numbers / 1.1:
Properties of Complex Numbers / 1.2:
Some Elementary Functions / 1.3:
Continuous Functions / 1.4:
Basic Properties of Analytic Functions / 1.5:
Differentiation of the Elementary Functions / 1.6:
Cauchy's Theorem / 2:
Contour Integrals / 2.1:
Cauchy's Theorem--A First Look / 2.2:
A Closer Look at Cauchy's Theorem / 2.3:
Cauchy's Integral Formula / 2.4:
Maximum Modulus Theorem and Harmonic Functions / 2.5:
Series Representation of Analytic Functions / 3:
Convergent Series of Analytic Functions / 3.1:
Power Series and Taylor's Theorem / 3.2:
Laurent Series and Classification of Singularities / 3.3:
Calculus of Residues / 4:
Calculation of Residues / 4.1:
Residue Theorem / 4.2:
Evaluation of Definite Integrals / 4.3:
Evaluation of Infinite Series and Partial-Fraction Expansions / 4.4:
Conformal Mappings / 5:
Basic Theory of Conformal Mappings / 5.1:
Fractional Linear and Schwarz-Christoffel Transformations / 5.2:
Applications of Conformal Mappings to Laplace's Equation, Heat Conduction, Electrostatics, and Hydrodynamics / 5.3:
Further Development of the Theory / 6:
Analytic Continuation and Elementary Riemann Surfaces / 6.1:
Rouche's Theorem and Principle of the Argument / 6.2:
Mapping Properties of Analytic Functions / 6.3:
Asymptotic Methods / 7:
Infinite Products and the Gamma Function / 7.1:
Asymptotic Expansions and the Method of Steepest Descent / 7.2:
Stirling's Formula and Bessel Functions / 7.3:
Laplace Transform and Applications / 8:
Basic Properties of Laplace Transforms / 8.1:
Complex Inversion Formula / 8.2:
Application of Laplace Transforms to Ordinary Differential Equations / 8.3:
Answers to Odd-Numbered Exercises
Index
Preface
Analytic Functions / 1:
Introduction to Complex Numbers / 1.1:
86.

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図書
[by] John D. DePree [and] Charles C. Oehring
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, [1969]  ix, 390 p ; 24 cm
シリーズ名: Addison-Wesley series in mathematics / Eric Reissner, consulting editor
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87.

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図書
Kenneth S. Miller
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., Advanced Book Program, 1974  xi, 238 p ; 25 cm
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88.

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図書
John B. Conway
出版情報: New York ; Berlin ; Tokyo : Springer-Verlag, c1978  xiii, 317 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 11
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89.

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図書
Raghavan Narasimhan
出版情報: Boston ; Stuttgart : Birkhäuser, c1985  xvi, 266 p. ; 24 cm
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90.

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図書
by Morris Marden
出版情報: Providence : American Mathematical Society, 1966  xi, 243 p. ; 27 cm
シリーズ名: Mathematical surveys ; no. 3
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91.

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図書
by Marek Jarnicki, Peter Pflug
出版情報: Berlin ; New York : Walter de Gruyter, 1993  xi, 408 p. ; 25 cm
シリーズ名: De Gruyter expositions in mathematics ; 9
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92.

図書

図書
by Konrad Knopp ; translated by Frederick Bagemihl
出版情報: New York : Dover publications, c1945-47  2 v. ; 21 cm
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目次情報: 続きを見る
Fundamental Concepts / Section I:
Numbers and Points / Chapter 1:
Prerequisites / 1:
The Plane and Sphere of Complex Numbers / 2:
Point Sets and Sets of Numbers / 3:
Paths, Regions, Continua / 4:
Functions of a Complex Variable / Chapter 2:
The Concept of a Most General (Single-valued) Function of a Complex Variable / 5:
Continuity and Differentiability / 6:
The Cauchy-Riemann Differential Equations / 7:
Integral Theorems / Section II:
The Integral of a Continuous Function / Chapter 3:
Definition of the Definite Integral / 8:
Existence Theorem for the Definite Integral / 9:
Evaluation of Definite Integrals / 10:
Elementary Integral Theorems / 11:
Cauchy's Integral Theorem / Chapter 4:
Formulation of the Theorem / 12:
Proof of the Fundamental Theorem / 13:
Simple Consequences and Extensions / 14:
Cauchy's Integral Formulas / Chapter 5:
The Fundamental Formula / 15:
Integral Formulas for the Derivatives / 16:
Series and the Expansion of Analytic Functions in Series / Section III:
Series with Variable Terms / Chapter 6:
Domain of Convergence / 17:
Uniform Convergence / 18:
Uniformly Convergent Series of Analytic Functions / 19:
The Expansion of Analytic Functions in Power Series / Chapter 7:
Expansion and Identity Theorems for Power Series / 20:
The Identity Theorem for Analytic Functions / 21:
Analytic Continuation and Complete Definition of Analytic Functions / Chapter 8:
The Principle of Analytic Continuation / 22:
The Elementary Functions / 23:
Continuation by Means of Power Series and Complete Definition of Analytic Functions / 24:
The Monodromy Theorem / 25:
Examples of Multiple-valued Functions / 26:
Entire Transcendental Functions / Chapter 9:
Definitions / 27:
Behavior for Large z / 28:
Singularities / Section IV:
The Laurent Expansion / Chapter 10:
The Expansion / 29:
Remarks and Examples / 30:
The Various types of Singularities / Chapter 11:
Essential and Non-essential Singularities or Poles / 31:
Behavior of Analytic Functions at Infinity / 32:
The Residue Theorem / 33:
Inverses of Analytic Functions / 34:
Rational Functions Bibliography / 35:
Index
Fundamental Concepts / Section I:
Numbers and Points / Chapter 1:
Prerequisites / 1:
93.

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図書
Chung-Chun Yang ... [et al.] (editors)
出版情報: Harlow, Essex, England : Longman Scientific & Technical , New York : John Wiley, 1994  359 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 305
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94.

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図書
by Wiliam Fogg Osgood
出版情報: New York : Chelsea Pub. Co., [19--]  xii, 407, viii, 262 p ; 21 cm
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95.

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図書
Heinrich G.W. Begehr
出版情報: Singapore ; River Edge, N.J. : World Scientific, c1994  ix, 273 p. ; 23 cm
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96.

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図書
Lennart Carleson, Theodore W. Gamelin
出版情報: New York : Springer-Verlag, c1993  ix, 174 p. ; 24 cm
シリーズ名: Universitext
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97.

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図書
[by] W. Allen Smith
出版情報: Columbus, Ohio : Merrill, [1974]  x, 274 p ; 26 cm
シリーズ名: Merrill mathematics series ;
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98.

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図書
Murali Rao, Henrik Stetkær, Søren Fournais, Jacob Schach Møller
出版情報: Singapore : World Scientific, c2015  x, 414 p. ; 23 cm
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99.

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図書
John W. Dettman
出版情報: New York : Macmillan, c1965  ix, 481 p. ; 25 cm
シリーズ名: A Series of advanced mathematics texts
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100.

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図書
T. Sheil-Small
出版情報: Cambridge : Cambridge University Press, 2002  xix, 428 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 75
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目次情報: 続きを見る
Preface
List of notation
The algebra of polynomials / 1:
The degree principle and the fundamental theorem of algebra / 2:
The Jacobian problem / 3:
Analytic and harmonic functions in the unit disc / 4:
Circular regions and Grace's theorem / 5:
The Ilieff-Sendov conjecture / 6:
Self-inversive polynomials / 7:
Duality and an extension of Grace's theorem to rational functions / 8:
Real polynomials / 9:
Level curves / 10:
Miscellaneous topics / 11:
References
Index
Preface
List of notation
The algebra of polynomials / 1:
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