Author | Schober, Glenn. author |
---|---|
Title | Univalent Functions-Selected Topics [electronic resource] / by Glenn Schober |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1975 |
Connect to | http://dx.doi.org/10.1007/BFb0077279 |
Descript | IV, 202 p. online resource |
Functions with positive real part -- Special classes: convex, starlike, real, typically real, close-to-convex, bounded boundary rotation -- The Pรณlya-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 Schifferโs 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