Problem Book in the Theory of Functions, Volumes 1-2Dover Publications, 1948 - Functions |
Other editions - View all
Common terms and phrases
a₁ according arbitrary assertion Assume b₁ b₂ ba+1 boundary points bounded C₁ CAUCHY'S INTEGRAL THEOREMS circle of convergence closed path coefficients complex number COMPLEX VARIABLE CONFORMAL MAPPING constant contains continuous converges absolutely converges uniformly defined denotes differentiable diverges domain entire function equal equation exists EXPANSION IN SERIES finite number fixed follows function f(z given Hence INFINITE SEQUENCES interior K₂ Laurent expansion Let f(z Let the function limit point linear transformation Mittag-Leffler's theorem Multiple-valued Functions neighborhood obtain P₁ plane positive integers positive number power series preceding problem Prob proof Prove r₁ R₂ radius of convergence real axis region Riemann surfaces SEQUENCES AND SERIES series converges sheets Show single-valued and regular singular straight line triangle unit circle upper half-plane z-plane z₁