1.
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図書
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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.
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図書
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A.F. Beardon
出版情報: |
Chichester [Eng.] ; New York : Wiley, c1979 xiii, 239 p. ; 23 cm |
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3.
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図書
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Manfred Kracht, Erwin Kreyszig
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4.
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図書
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William R. Derrick
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5.
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図書
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George Polya, Gordon Latta
出版情報: |
New York : Wiley, c1974 xiv, 327 p. ; 24 cm |
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6.
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図書
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Reinhold Remmert
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7.
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図書
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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.
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図書
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D.E. Lerner & P.D. Sommers (editors)
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9.
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図書
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Dieter Gaier ; translated by Renate McLaughlin
出版情報: |
Boston : Birkhäuser, c1987 ix, 196 p. ; 25 cm |
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10.
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図書
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Peter Henrici
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11.
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図書
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Peter Henrici
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12.
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図書
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Zane C. Motteler
出版情報: |
New York : Intext Educational Publishers, c1975 xi, 307 p. ; 24 cm |
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13.
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図書
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Carl Ludwig Siegel
出版情報: |
New York ; London : Academic Press, 1964 86 p. ; 24 cm |
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14.
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図書
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Stephen D. Fisher
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: |
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15.
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図書
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Editors, Thomas Peternell, Frank-Olaf Schreyer
出版情報: |
Berlin : Walter de Gruyter, 2000 x, 406 p. ; 25 cm |
子書誌情報: |
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目次情報:
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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 |
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16.
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図書
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Steven G. Krantz
出版情報: |
Boston, Mass. : Birkhäuser, c1999 xxiv, 290 p. ; 24 cm |
子書誌情報: |
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17.
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図書
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Sanford S. Miller, Petru T. Mocanu
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.: |
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18.
|
図書
|
Seán Dineen
|
19.
|
図書
|
edited by Keith M. Ball, Vitali Milman
|
20.
|
図書
|
Adhemar Bultheel ... [et al.]
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: |
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21.
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図書
|
S. Morosawa ... [et al.]
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22.
|
図書
|
C.A. Berenstein ... [et al.] ; editors, E. Casadio Tarabusi, M.A. Picardello, G. Zampieri
|
23.
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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 |
子書誌情報: |
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24.
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図書
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Junjiro Noguchi ; translated by Junjiro Noguchi
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25.
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図書
|
Reinhold Remmert ; translated by Leslie Kay
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 |
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26.
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図書
|
by Edouard Goursat ; translated by Earle Raymond Hedrick and Otto Dunkel
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27.
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図書
|
Serge Lang
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: |
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28.
|
図書
|
E.A. Grove, G. Ladas
出版情報: |
Boston : Houghton Mifflin, [1974] x, 221 p. ; 25 cm |
子書誌情報: |
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29.
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図書
|
Robert E. Greene, Steven G. Krantz
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 |
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30.
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図書
|
Svante Janson
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: |
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31.
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図書
|
Joseph Bak, Donald J. Newman
|
32.
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図書
|
Thomas Ransford
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: |
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33.
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図書
|
edited by Rafał Abłamowicz and Pertti Lounesto
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34.
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図書
|
Vladislav V. Kravchenko and Michael V. Shapiro
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35.
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図書
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F. Nevanlinna
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36.
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図書
|
Liang-shin Hahn, Bernard Epstein
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37.
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図書
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by A.R. Forsyth
出版情報: |
Cambridge : Cambridge University press, 1918 xxiv, 855 p. ; 28 cm |
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38.
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図書
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edited by Herbert Clemens and János Kollár
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39.
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図書
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Christian Peskine
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40.
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図書
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by M.Z.v. Krzywoblocki
出版情報: |
Wien : Springer-Verlag, 1960 ix, 188 p. ; 28 cm |
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41.
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図書
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Carathéodory, Constantin, 1873-1950
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42.
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図書
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A.A. Gonchar, V.P. Havin, N.K. Nikolski, (eds.)
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 |
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43.
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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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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: |
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44.
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図書
|
Theodore V. Hromadka II
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45.
|
図書
|
Klas Diederich (ed.)
|
46.
|
図書
|
Steven G. Krantz
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: |
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47.
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図書
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Kichoon Yang
|
48.
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図書
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von G.M. Golusin ; [Übersetzung aus dem Russischen: Doris-Ursula Pirl]
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49.
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図書
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by L.I. Ronkin
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50.
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図書
|
Harold S. Shapiro
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" |
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51.
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図書
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Mario O. González
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52.
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図書
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Mario O. González
|
53.
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図書
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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.
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図書
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B.V. Shabat ; [translated from the Russian by J.S. Joel]
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55.
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図書
|
Serge Lang
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: |
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56.
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図書
|
Peter Henrici
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 |
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57.
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図書
|
Murali Rao, Henrik Stetkær
出版情報: |
Singapore : World Scientific, c1991 ix, 240 p. ; 23 cm |
子書誌情報: |
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58.
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図書
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A.I. Markushevich
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59.
|
図書
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Alan Jeffrey
|
60.
|
図書
|
Carlos A. Berenstein, Roger Gay
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 |
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61.
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図書
|
edited by L. Carleson ... [et al.]
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62.
|
図書
|
edited by L. Carleson ... [et al.]
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63.
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図書
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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
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Ian Postlethwaite, Alistair G.J. MacFarlane
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65.
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図書
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H.A. Priestley
出版情報: |
Oxford : Clarendon Press , New York : Oxford University Press, 1990 xi, 214 p. ; 24 cm |
子書誌情報: |
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目次情報:
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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: |
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66.
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図書
|
Stephen D. Fisher
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: |
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67.
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図書
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Reinhold Remmert ; translated by Robert B. Burckel
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 |
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68.
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図書
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Giovanni Sansone, Johan Gerretsen
出版情報: |
Groningen : P. Noordhoff, 1960- 2 v. ; 26 cm |
子書誌情報: |
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目次情報:
v. 1. Holomorphic functions |
v. 2. Geometric theory |
v. 1. Holomorphic functions |
v. 2. Geometric theory |
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69.
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図書
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[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
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[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
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[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
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by Raymond E.A.C. Paley and Norbert Wiener
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 |
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73.
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図書
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Kehe Zhu
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74.
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図書
|
Bruce P. Palka
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 |
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75.
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図書
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Serge Lang
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76.
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図書
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editors of the volume, Julian Ławrynowicz, Józef Siciak
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77.
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図書
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J.H. Curtiss
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78.
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図書
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Robert P. Gilbert
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79.
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図書
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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
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[by] Peter Colwell [and] Jerold C. Mathews
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81.
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図書
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Walter Rudin
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82.
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図書
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Maurice Heins
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83.
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図書
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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
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Rolf Nevanlinna, V. Paatero ; translated by T. Kövari and G.S. Goodman
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85.
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図書
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[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 |
子書誌情報: |
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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: |
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86.
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図書
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[by] John D. DePree [and] Charles C. Oehring
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87.
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図書
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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
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John B. Conway
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89.
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図書
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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
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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 |
子書誌情報: |
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91.
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図書
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by Marek Jarnicki, Peter Pflug
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92.
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図書
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by Konrad Knopp ; translated by Frederick Bagemihl
出版情報: |
New York : Dover publications, c1945-47 2 v. ; 21 cm |
子書誌情報: |
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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: |
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93.
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図書
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Chung-Chun Yang ... [et al.] (editors)
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94.
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図書
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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
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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
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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 |
子書誌情報: |
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97.
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図書
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[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 ; |
子書誌情報: |
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98.
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図書
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Murali Rao, Henrik Stetkær, Søren Fournais, Jacob Schach Møller
出版情報: |
Singapore : World Scientific, c2015 x, 414 p. ; 23 cm |
子書誌情報: |
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99.
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図書
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John W. Dettman
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100.
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図書
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T. Sheil-Small
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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