Functions of a Complex Variable: With Applications |
Contents
CONFORMAL REPRESENTATION p | 32 |
Invariance of the CrossRatio | 49 |
SOME SPECIAL TRANSFORMATIONS p | 57 |
Copyright | |
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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 circle of convergence closed contour complex numbers confocal conformal transformation consider const constant contour integral cosec cosh defined definition derivatives differentiable domain ellipse essential singularity finite number Hence infinite inside integral round inverse lemma limit point many-valued function maps Möbius negative real axis neighbourhood one-valued P₁ P₂ parabola parabola ABC plane point at infinity pole of order polygon positive real axis power series prove radius real numbers real variable rectangle region regular arc regular function residue Riemann surface semicircle Show simple poles singularity of f(z sinh square strip T₁ Taylor series Taylor's theorem tends to zero u+iv unit circle upper half upper half-plane values w-plane w-plane cut w₁ w₂ whole z-plane write x+iy z-plane corresponding z₁ ди მე მყ
