Hypergeometric transforms in subclasses of univalent functions

Abstract

Abstract. In the present paper, we obtain certain sufficient conditions for special analytic functions to be in the class of normalized analytic functions satisfying the condition for | z |< 1, where is a given real number. The purpose of the present paper is to investigate various mapping and inclusion properties involving subclasses of analytic and univalent functions for a linear operator defined by means of Hadamard product with the Gaussian hypergeometric function.