Hypergeometric transforms in subclasses of univalent functions

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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.


Starlike; convex; hypergeometric functions; univalent functions

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