Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable |
Contents
COMPLEX NUMBERS | 1 |
The geometric representation of complex numbers | 10 |
Linear transformations | 25 |
Copyright | |
17 other sections not shown
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Common terms and phrases
a₁ algebraic analytic continuations analytic function angle applied arbitrary boundary bounded C₁ C₂ Cauchy's theorem choose circle closed curve coefficients compact set complement complex number condition conformal mapping conjugate consider constant contained corresponding defined definition denote derivative direct analytic continuations end points entire function equal exists extended plane finite number follows formula function elements function f(z half plane harmonic function hence homotop imaginary inequality infinite initial branch integral lemma limit linear transformation mapping maximum principle multiple neighborhood notation obtain open sets pole polynomial proof prove radius of convergence real axis real numbers rectangle removable singularity residue Riemann surface satisfies sequence simple simply connected simply connected region single-valued singularity solution subharmonic subset sufficient Suppose symmetric tion topological uniform convergence uniformly vanishes variable w-plane whole plane y₁ ди дх მყ