Univalent functions-selected topics
著者
書誌事項
Univalent functions-selected topics
(Lecture notes in mathematics, 478)
Springer-Verlag, 1975
- : u.s.
- : gw
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注記
Bibliography: p. [191]-198
Includes index
内容説明・目次
目次
Functions with positive real part.- Special classes: convex, starlike, real, typically real, close-to-convex, bounded boundary rotation.- The Polya-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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