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1.

図書
図書
1. Theory of functions of a complex variable. 3rd ed
by A.R. Forsyth
出版情報: Cambridge : Cambridge University press, 1918  xxiv, 855 p. ; 28 cm
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2.

図書
図書
2. Fourier transforms in the complex domain
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
3.

図書
図書
3. Theory of functions (Pt. 1 ; Pt. 2)
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：
4.

図書
図書
4. Functions of real variables ; Functions of a complex variable
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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5.

図書
図書
5. Analytic functions of a complex variable
by David Raymond Curtiss
出版情報: La Salle, Ill. : Published for the Mathematical Association of America by Open Court Publishing Co., 1926  ix, 173 p. ; 20 cm
シリーズ名: The Carus mathematical monographs ; v. 2
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6.

図書
図書
6. Functions of a complex variable
by James Pierpont
出版情報: Boston : Ginn, c1914  xiv, 583 p. ; 24 cm
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7.

図書
図書
7. Lehrbuch der funktionentheorie (v. I ; v. II)
von Ludwig Bieberbach
出版情報: Berlin ; Leipzig : B. G. Teubner, 1930-1931  2 v ; 24 cm
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目次情報:
I. Elemente der funktionentheorie. 3. verb. aufl.
II. Moderne funktionentheorie. 2. verb. und verm. aufl.
I. Elemente der funktionentheorie. 3. verb. aufl.
II. Moderne funktionentheorie. 2. verb. und verm. aufl.
8.

図書
図書
8. Elemente der Funktionentheorie
Bieberbach, Ludwig, 1886-
出版情報: Leipzig : B.G. Teubner, 1921  xi, 314 p. ; 24 cm
シリーズ名: Lehrbuch der funktionentheorie / von Ludwig Bieberbach ; Bd. 1
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9.

図書
図書
9. Functions of a complex variable
by Édouard Goursat ; translated by Earle Raymond Hedrick and Otto Dunkel
出版情報: Boston ; New York [etc.] : Ginn and Company, c1916  x, 259 p. ; 24 cm
シリーズ名: A course in mathematical analysis ; v. 2, pt. 1
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