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 $1935$, Oxford University Press.

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