A Study of Cho-Kwon-Srivastava Operator with Applications to Generalized Hypergeometric Functions

Author:

Ghanim F.1,Darus M.2

Affiliation:

1. Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, UAE

2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia

Abstract

We introduce a new class of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution) involving some suitably normalized meromorphically functions related to Cho-Kwon-Srivastava operator. A characterization property giving the coefficient bounds is obtained for this class of functions. The other related properties, which are investigated in this paper, include distortion and the radii of starlikeness and convexity. We also consider several applications of our main results to generalized hypergeometric functions.

Funder

Universiti Kebangsaan Malaysia

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

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