The Schwarz Function and Its Applications |
Contents
CHAPTER PAGE 1 Prologue | 1 |
Conjugate Coordinates in the Plane | 5 |
Elementary Geometrical Facts | 7 |
Copyright | |
16 other sections not shown
Other editions - View all
Common terms and phrases
A₁ algebra analytic arc analytic continuation analytic curve analytic function anti-analytic b₁ bilinear bisector Cauchy Chapter clinant coefficients complex variables conformal invariant conformal mapping conjugate coordinates convergence curvilinear angle defined derivative designate differential equations dxdy Example fixed point follows formal formal power series formula func functional composition functional equation geometry H. A. Schwarz harmonic function Hence horn angle identity integral interior intersect inverse inversive geometry iteration LEMMA linear Math mathematics matrix meromorphic Möbius transformation neighborhood nine-point circle obtain orthocenter orthogonal plane polynomial power series problem Proof real axis schlicht Schroeder Function Schwarz Function S(z Schwarzian reflection simply connected simply connected region single-valued solution spiral straight line Suppose symmetric with respect tangent theorem theory tion transformation triangle unit circle write x-axis z₁ дв მყ