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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 2011; 51(2): 217-232

Published online June 23, 2011

Copyright © Kyungpook Mathematical Journal.

Differential Sandwich Theorem for Multivalent Meromorphic Functions associated with the Liu-Srivastava Operator

Rosihan M. Ali1 , R. Chandrashekar1 , See Keong Lee1 , A. Swaminathan2 , V. Ravichandran3

1School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM Penang, Malaysia
2Department of Mathematics, Indian Institute of Technology, Roorkee-247 667, Uttarkhand, India
3Department of Mathematics, University of Delhi, Delhi 110 007, India

Received: June 23, 2011; Revised: June 23, 2011; Accepted: June 23, 2011

Abstract

Di erential subordination and superordination results are obtained for mul- tivalent meromorphic functions associated with the Liu-Srivastava linear operator in the punctured unit disk. These results are derived by investigating appropriate classes of admissible functions. Sandwich-type results are also obtained.

Keywords: Hypergeometric function, subordination, superordination, Liu- Srivastava linear operator, convolution