A covering theorem for odd typically-real functions

An analytic function f(z)=z+a2z2+… in |z|<1 is typically-real if Imf(z)Imz≥0. The largest domain G in which each odd typically-real function is univalent (one-to-one) and the domain ⋂f(G) for all odd typically real functions f are obtained.

Bibliographic Details
Main Author: E. P. Merkes
Format: Article
Language:English
Published: Hindawi Limited 1980-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171280000130