A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions-Reference-Cited by-同舟云学术

A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions

Published:2011 Issue: Volume:2011 Page:1-10
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Ghanim Firas¹,Darus Maslina²

Affiliation:

1. Faculty of Management, Multimedia University, Cyberjaya, 63100 Selangor, Malaysia

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

Abstract

We introduce a new subclass of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution). A characterization property such as the coefficient bound is obtained for this class. The other related properties, which are investigated in this paper, include the distortion and the radius of starlikeness. We also consider several applications of our main results to the generalized hypergeometric functions.

Funder

Ministry of Higher Education, Malaysia

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/159405.pdf

Reference16 articles.

1. On uniformly starlike functions

2. On uniformly convex functions

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