Functions of a Complex Variable: With Applications |
Contents
FUNCTIONS OF A COMPLEX VARIABLE p | 1 |
CONFORMAL REPRESENTATION p | 32 |
Invariance of the CrossRatio | 49 |
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Common terms and phrases
angle annulus Argand diagram boundary bounded C₁ cardioid Cauchy-Riemann equations circle of centre closed contour complex numbers confocal conformal transformation consider const constant continuous contour integral convergence cosec cosh defined definition denote derivatives differentiable domain ellipse essential singularity finite function f(z Hence hyperbolas infinite number inside integral round interior point inverse Laplace's equation lemma limit point many-valued function maps Möbius negative real axis neighbourhood one-valued P₁ P₂ parabola parabola ABC plane 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 straight line Taylor's theorem tends to zero trans u+iv unit circle upper half upper half-plane values w-plane w-plane cut w₁ whole z-plane write x²+y² z-plane corresponding z₁ ди дх მე მყ