Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable |
Contents
COMPLEX NUMBERS | 1 |
The Exponential and Trigonometric Functions | 3 |
The Geometric Representation of Complex Numbers | 12 |
Copyright | |
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Common terms and phrases
a₁ absolute value analytic function angle arbitrary boundary bounded C₁ Cauchy sequence Cauchy's theorem choose circle closed curve coefficients compact set complex numbers condition conformal mapping conjugate consider constant contains continuous convergence corresponding defined definition denote derivative determined differential disk end points equation exists f(zo finite number follows formula function elements function f(z ƒ dz geometric half plane harmonic function hence homotopic identically imaginary inequality integral inverse lemma linear transformation meromorphic meromorphic function metric space multiple neighborhood notation obtain open sets poles polynomial positive power series proof prove radius radius of convergence rational function real axis real numbers rectangle Riemann sphere Riemann surface roots satisfies sequence simply connected single-valued singularity subset Suppose tion topological totally bounded uniform convergence vanishes variable w-plane w₁ whole plane z₁ zero ди მყ