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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 2006; 46(1): 97-109

Published online March 23, 2006

Copyright © Kyungpook Mathematical Journal.

Classes of Multivalent Functions Defined by Dziok-Srivastava Linear Operator and Multiplier Transformation

S. Sivaprasad Kumar1, H. C. Taneja1, V. Ravichandran2

1Department of Applied Mathematics, Delhi College of Engineering, Delhi-110042, India
2School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM Penang, Malaysia

Abstract

In this paper, the authors introduce new classes of $p$-valent functions defined by Dziok-Srivastava linear operator and the multiplier transformation and study their properties by using certain first order differential subordination and superordination. Also certain inclusion relations are established and an integral transform is discussed.

Keywords: analytic function, univalent function, differential subordinations, differential superordinations, Dziok-Srivastava linear operator, multiplier transformation