Quasiconformal extensions for some geometric subclasses of univalent functions

Let S denote the set of all functions f which are analytic and univalent in the unit disk D normalized so that f(z)=z+a2z2+…. Let S∗ and C be those functions f in S for which f(D) is starlike and convex, respectively. For 0≤k<1, let Sk denote the subclass of functions in S which admit (1+k)/(1−k)...

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Bibliographic Details
Main Author: Johnny E. Brown
Format: Article
Language:English
Published: Hindawi Limited 1984-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171284000193