Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2011; 48(4): 689-695

Printed July 1, 2011

https://doi.org/10.4134/BKMS.2011.48.4.689

Copyright © The Korean Mathematical Society.

Neighborhoods of certain subclasses of analytic functions with negative coefficients

Hanan E. Darwish and Mohamed K. Aouf

Mansoura University, Mansoura University

Abstract

The main object of this paper is to prove several inclusion relations associated with $(j,\delta )$-neighborhoods of various subclasses defined by Salagean operator by making use of the familiar concept of neighborhoods of analytic functions. Special cases of some of these inclusion relations are shown to yield known results.

Keywords: analytic functions, $(j,\delta )$-neighborhood, Salagean operator, complex order

MSC numbers: 30C45