Sufficiency Conditions for Hypergeometric Functions to be in a Subclasses of Analytic Functions

Mohamed Kamal Aouf<br />Adela Osman Mostafa<br />Hanaa Mousa Zayed

Original Article

Kyungpook Mathematical Journal 2016; 56(1): 235-248

Published online March 23, 2016

Sufficiency Conditions for Hypergeometric Functions to be in a Subclasses of Analytic Functions

Mohamed Kamal Aouf¹
Adela Osman Mostafa²
Hanaa Mousa Zayed³

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt¹
Department of Mathematics, Faculty of Science, Damietta University, Mansoura University, Mansoura 35516, Egypt²
Department of Mathematics, Faculty of Science, Menofia University, Shebin Elkom 32511, Egypt³

Abstract

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Abstract

The purpose of this paper is to introduce sufficient conditions for (Gaussian) hypergeometric functions to be in various subclasses of analytic functions. Also, we investigate several mapping properties involving these subclasses.

Keywords:

Univalent, starlike, convex, hypergeometric ,functions, Hadamard product, Hohlov operator, Kim and Shon operator