Book:E.T. Copson/An Introduction to the Theory of Functions of a Complex Variable

E.T. Copson: An Introduction to the Theory of Functions of a Complex Variable

Published $\text {1935}$, Oxford University Press

Subject Matter

• Complex Analysis

Contents

PREFACE

I. COMPLEX NUMBERS

II. THE CONVERGENCE OF INFINITE SERIES

III. FUNCTIONS OF A COMPLEX VARIABLE

IV. CAUCHY'S THEOREM

V. UNIFORM CONVERGENCE

VI. THE CALCULUS OF RESIDUES

VII. INTEGRAL FUNCTIONS

VIII. CONFORMAL REPRESENTATION

IX. THE GAMMA FUNCTION

X. THE HYPERGEOMETRIC FUNCTIONS

XI LEGENDRE FUNCTIONS

XII. BESSEL FUNCTIONS

XIII. THE ELLIPTIC FUNCTIONS OF WEIERSTRASS

XIV. JACOBI'S ELLIPTIC FUNCTIONS

XV. ELLIPTIC MODULAR FUNCTIONS AND PICARD'S THEOREM

INDEX

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• 1935: E.T. Copson: An Introduction to the Theory of Functions of a Complex Variable ... (next): Chapter $\text {I}$. Complex Numbers: $1.1$ The introduction of complex numbers into algebra