TOC: 1.) COMPLEX NUMBERS -- 2.) THE CONVERGENCE OF INFINITE SERIES -- 3.) FUNCTIONS OF A COMPLEX VARIABLE -- 4.) CAUCHY'S THEOREM -- 5.) UNIFORM CONVERGENCE -- 6.) THE CALCULUS OF RESIDUES -- 7.) INTEGRAL FUNCTIONS -- 8.) CONFORMAL REPRESENTATION -- 9.) THE GAMMA FUNCTION -- 10.) THE HYPERGEOMETRIC FUNCTIONS -- 11.) LEGENDRE FUNCTIONS -- 12.) BESSEL FUNCTIONS -- 13.) THE ELLIPTIC FUNCTIONS OF WEIERSTRASS -- 14.) JACOBI'S ELLIPTIC FUNCTIONS -- 15.) ELLIPTIC MODULAR FUNCTIONS AND PICARD'S THEOREM -- * INDEX
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