Hypergeometric transforms in subclasses of univalent functions

Year 2015, Volume: 36 Issue: 3, 2299 - 2306, 13.05.2015

Roya Ghasemkhani

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.

Keywords

Starlike, convex; hypergeometric functions; univalent functions

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