Certain Class of Analytic Functions Defined by Ruscheweyh Derivative with Varying Arguments

Rabha Mohamed El-Ashwah; Mohamed Kamal Aouf; Ahmed Hassan; Alaa Hassan

Original Article

Kyungpook Mathematical Journal 2014; 54(3): 453-461

Published online September 23, 2014

Certain Class of Analytic Functions Defined by Ruscheweyh Derivative with Varying Arguments

Rabha Mohamed El-Ashwah¹, Mohamed Kamal Aouf², Ahmed Hassan³ and Alaa Hassan³

¹Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
²Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 33516, Egypt
³Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt

Abstract

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Abstract

In this paper we derive some results for certain new class of analytic functions defined by using Ruscheweyh derivative with varying arguments.

Keywords: analytic functions, univalent, Hadamard product, Ruscheweyh derivative, extreme points