The Schwarz Function and Its Applications |
Contents
CHAPTER PAGE 1 Prologue 15739 | 1 |
Conjugate Coordinates in the Plane | 2 |
Elementary Geometrical Facts | 3 |
Copyright | |
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A₁ algebra analytic arc analytic continuation analytic curve analytic function anti-analytic assume b₁ bilinear bisector Cauchy Chapter clinant coefficients complex number complex variables conformal invariant conformal mapping conjugate coordinates convergence curvilinear angle defined derivative designate differential equations dxdy Example F₂ fixed point follows formal power series formula func Function for f functional composition functional equation geometry harmonic function Hence horn angle identity integral interior intersect inverse inversive geometry iteration LEMMA linear Math mathematics matrix meromorphic Möbius Möbius transformation neighborhood nine-point circle obtain orthocenter orthogonal plane polynomial 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