Univalent Functions - Selected Topics

Bibliographic Details
Main Author: Schober, G.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1975, 1975
Edition:1st ed. 1975
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Functions with positive real part
  • Special classes: convex, starlike, real, typically real, close-to-convex, bounded boundary rotation
  • The Pólya-Schoenberg conjecture
  • Representation of continuous linear functionals
  • Faber polynomials
  • Extremal length and equicontinuity
  • Compact families ?(D,?1,?2,P,Q) of univalent functions normalized by two linear functionals
  • Properties of extreme points for some compact families ?(D,?1,?2,P,Q)
  • Elementary variational methods
  • Application of Schiffer’s boundary variation to linear problems
  • Application to some nonlinear problems
  • Some properties of quasiconformal mappings
  • A variational method for q.c. mappings
  • Application to families of conformal and q.c. mappings
  • Sufficient conditions for q.c. extensions