Analytic Functions of a Complex Variable |
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Common terms and phrases
a+ib absolute value algebraic amplitude analytic continuation analytic functions analytic throughout angle approach zero becomes infinite boundary branch branch-cut branch-point Burkhardt-Rasor C₁ C₂ Cauchy-Riemann equations Cauchy's integral theorem Chapter circle of convergence closed curve co-ordinates coefficients complex numbers complex variable conformal mapping continuous function corresponding curve integral curve segment defined definition differential equation equal essential singular point example expression fi(z finite number foregoing formula func function f(z given Goursat-Hedrick Hence indefinite integral interior Laurent's series limit loop lytic many-valued functions monodromic group monogenic function obtain origin Osgood partial derivatives path pole polynomial power series real functions real number real variable region T₁ Riemann surface root series converges sheets simply connected simply connected region single-valued and analytic solution substitution Taylor's series theory of functions throughout a neighborhood throughout a region tion tive unit circle vanish w²=z z-plane Әх ди ду