Functions of a Complex Variable: With Applications |
Contents
PREFACE p vii | 1 |
CONFORMAL REPRESENTATION p | 32 |
SOME SPECIAL TRANSFORMATIONS p | 57 |
Copyright | |
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Common terms and phrases
angle applications becomes boundary bounded C₁ called centre closed contour complex numbers complex variable conformal consider constant continuous contour convergence corresponds curve defined definition denote derivatives determine differentiable domain edge ellipse equation example exist expansion expression finite follows function f(z given gives Hence imaginary important infinite infinity inside integral interior inverse length maps means method Möbius neighbourhood obtain origin P₁ parabola plane poles positive power series problem proof prove radius radius of convergence real axis region regular function relation represents residue respectively result Riemann surface roots round satisfied seen semicircle Show Similarly singularity square strip Suppose taking Taylor tends to zero term theorem theory transformation unit circle upper half upper half-plane values w-plane w₁ write z-plane corresponding zero ди
