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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Original Article

Kyungpook Mathematical Journal 2009; 49(4): 713-723

Published online December 23, 2009

Copyright © Kyungpook Mathematical Journal.

Convolution Properties of Certain Class of Multivalent Meromorphic Functions

Pramila Vijaywargiya

Department of Mathematics, University of Rajasthan, Jaipur-302055, India

Abstract

The purpose of the present paper is to introduce a new subclass of meromorphic multivalent functions defined by using a linear operator associated with the generalized hypergeometric function. Some properties of this class are established here by using the principle of differential subordination and convolution in geometric function theory.

Keywords: subordination, differential subordination, generalized hypergeometric function, meromorphic multivalent functions, convex functions, starlike functions, Hadamard product(or convolution)