Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 190291, 10 pages
doi:10.1155/2009/190291
Research Article

Subclasses of Meromorphic Functions Associated with Convolution

Maisarah Haji Mohd,1 Rosihan M. Ali,1 Lee See Keong,1 and V. Ravichandran2

1School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia
2Department of Mathematics, University of Delhi, Delhi 110 007, India

Received 12 December 2008; Accepted 11 March 2009

Academic Editor: Narendra Kumar Govil

Copyright © 2009 Maisarah Haji Mohd et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Several subclasses of meromorphic functions in the unit disk are introduced by means of convolution with a given fixed meromorphic function. Subjecting each convoluted-derived function in the class to be subordinated to a given normalized convex function with positive real part, these subclasses extend the classical subclasses of meromorphic starlikeness, convexity, close-to-convexity, and quasi-convexity. Class relations, as well as inclusion and convolution properties of these subclasses, are investigated.