Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2009; 46(5): 905-915

Printed September 1, 2009

https://doi.org/10.4134/BKMS.2009.46.5.905

Copyright © The Korean Mathematical Society.

On certain classes of multivalent functions involving a generalized differential operator

Chellian Selvaraj and Kuppathai A. Selvakumaran

Presidency College (Autonomous) and R. M. K. Engg. College

Abstract

Making use of a generalized differential operator we introduce some new subclasses of multivalent analytic functions in the open unit disk and investigate their inclusion relationships. Some integral preserving properties of these subclasses are also discussed.

Keywords: multivalent function, convex univalent function, starlike with respect to symmetric points, Hadamard product, subordination, integral operator

MSC numbers: 30C45, 30C50, 30C75