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ON CERTAIN CLASS OF STARLIKE ANALYTIC FUNCTIONS ASSOCIATED WITH A DIFFERENTIAL OPERATOR


ENTISAR EL-YAGUBI 1 AND MASLINA DARUS 2
1. School of Mathematical Sciences, Faculty of Science and Technology Universiti Kebangsaan Malaysia, Bangi 43600 Selangor D. Ehsan, MALAYSIA, e-mail: entisar_ el1980@yahoo.com
2. School of Mathematical Sciences, Faculty of Science and Technology Universiti Kebangsaan Malaysia, Bangi 43600 Selangor D. Ehsan, MALAYSIA, e-mail: maslina@ukm.edu.my

Issue:

SSRSMI, Number 2, Volume XXIV

Section:

Volume 24, Number 2

Abstract:

The aim of this paper is to introduce a new class of analytic functions in the unit disk, with negative coefficients, via a new generalized derivative operator. We prove coefficient inequalities for the new class of functions and for a subclass of it, as well as distortion theorems for functions in this subclass and for their derivatives. We determine the extreme points of the newly introduced subclass.

Keywords:

Analytic functions, starlike functions, derivative operator.

Code [ID]:

SSRSMI201402V24S01A0003 [0004192]

Full paper:

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