Sufficient conditions for strongly Caratheodory functions
Recently, by applying the principle of subordination for analytic functions in the open unit disk U, Kim and Cho [I. H. Kim, N. E. Cho, Sufficient conditions for Caratheodory functions, Comput. Math. Appl. 59 (2010), 2067-2073] considered several sufficient conditions for a family of Caratheodory functions. The main purpose of this paper is to investigate some (presumably new) sufficient conditions for the class of strongly Caratheodory functions in U. One illustrative example and several corollaries of the main results presented here are also considered. (C) 2011 Elsevier Ltd. All rights reserved.
strongly caratheodory functions caratheodory functions analytic functions subordination principle univalent and starlike functions strongly starlike functions