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Univalent Functions-Selected Topics [electronic resource] / by Glenn Schober.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 478Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1975Description: IV, 202 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540375876
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 510 23
LOC classification:
  • QA1-939
Online resources:
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.
In: Springer eBooks
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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.

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