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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 2013; 53(1): 1-12

Published online March 23, 2013

Copyright © Kyungpook Mathematical Journal.

Subordination and Superordination for Multivalent Functions associated with the Differintegral Operator

Oh Sang Kwon1 , Nak Eun Cho2

1Department of Mathematics, Kyungsung University, Busan 608-736, Korea
2Department of Applied Mathematics, Pukyong National University, Busan 608-737, Korea

Received: March 23, 2013; Revised: March 23, 2013; Accepted: March 23, 2013

Abstract

The purpose of the present paper is to obtain some subordination- and superordination- preserving properties for multivalent function associated the differintegral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich type theorem for the integral operator is also considered.

Keywords: subordination, superordination, univalent function, convex function, differintegral operator