Functions of a Complex Variable: With Applications |
Contents
FUNCTIONS OF A COMPLEX VARIABLE p | 1 |
CONFORMAL REPRESENTATION p | 32 |
ix | 43 |
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Common terms and phrases
angle annulus Argand diagram b₁ boundary bounded C₁ cardioid Cauchy-Riemann equations Cauchy's theorem circle of centre closed contour complex numbers confocal conformal transformation consider const constant contour integral cosec cosh defined denotes differentiable domain ellipse essential singularity evaluated finite number follows Hence infinite integral round interior point inverse lemma limit point many-valued function maps Möbius neighbourhood one-one one-valued P₁ P₂ parabola parabola y² plane point at infinity pole of order polygon positive real axis power series prove quadrant radius real numbers real variable rectangle region regular arc regular function Riemann surface roots S₂ satisfied semicircle Show simple poles singularity of f(z sinh small circle square strip Taylor series Taylor's theorem tends to zero unit circle upper half upper half-plane values w-plane w-plane cut w₁ whole z-plane z-plane corresponding z₁ ди მე მყ