Univalent Functions - Selected Topics

von G. Schober

212 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9783540073918
• Sprache: Englisch
• Erscheinungsdatum: 01.09.1975
• Größe: 235 x 155 mm
• Verlag: Springer