Functions of a Complex Variable: With Applications |
Contents
PREFACE p vii | 1 |
CONFORMAL REPRESENTATION p | 32 |
SOME SPECIAL TRANSFORMATIONS p | 57 |
3 other sections not shown
Common terms and phrases
analytic angle Argand diagram bilinear transformation boundary bounded Cauchy-Riemann equations circle of centre closed contour complex numbers complex variable theory conformal transformation consider const continuous contour integral cosec cosh defined definition denote derivatives differentiable domain ellipse essential singularity Ə² finite number follows function f(z given Hence infinite inside integral round interior point inverse isogonal Laplace's equation lemma limit point many-valued function maps Möbius neighbourhood one-one P₁ P₂ parabola plane point at infinity pole of order polygon positive real axis power series prove radius real and imaginary real numbers real variable region regular function Riemann surface roots satisfied semicircle Show Similarly simple poles singularity of f(z sinh straight line strip Taylor's theorem tends to zero u+iv unit circle upper half upper half-plane w-plane corresponding w₁ write x+iy Σπί эх ду მა