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Article

Kyungpook Mathematical Journal 2017; 57(1): 109-124

Published online March 23, 2017

Copyright © Kyungpook Mathematical Journal.

Some New Subclasses of Analytic Functions defined by Srivastava-Owa-Ruscheweyh Fractional Derivative Operator

Khalida Inayat Noor1
Rashid Murtaza1
Janusz Sokól2

Department of Mathematics, COMSATS Institute of Information Technology Park Road, Islamabad, Pakistan1
Faculty of Mathematics and Natural Sciences, University of Rzeszów, ul. Prof. Pigonia 1, 35-310 Rzeszów, Poland2

Received: January 5, 2016; Accepted: December 6, 2016

Abstract

In this article the Srivastava-Owa-Ruscheweyh fractional derivative operator La,λα is applied for defining and studying some new subclasses of analytic functions in the unit disk E. Inclusion results, radius problem and other results related to Bernardi integral operator are also discussed. Some applications related to conic domains are given.

Keywords: analytic functions, convolution, subordination, Srivastava-Owa-Ruscheweyh  ,fractional derivative operator, multiplier linear fractional differential operator, gamma function, incomplete beta function