Generalised differential operator defined by analytic functions associated with negative coefficients

S. Faraj Ramadan, and Maslina Darus, (2010) Generalised differential operator defined by analytic functions associated with negative coefficients. Journal of Quality Measurement and Analysis, 6 (1). pp. 75-84. ISSN 1823-5670

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Abstract

We define a new generalised derivative operator Dm,s,µ,b for the class A of analytic functions in the unit disc U = {z∈C:|z|<1} . This operator has generalised many well known operators studied by many different authors. Also in this paper we introduce a new subclass of A using generalised derivative operator. Coefficient inequalities, distortion theorems, and extreme points of analytic functions belonging to the subclass are given

Item Type:Article
Keywords:analytic functions; Hadamard product (or convolution); univalent functions; starlike functions; derivative operator
Journal:Journal of Quality Measurement and Analysis
ID Code:1964
Deposited By: Ms. Nor Ilya Othman
Deposited On:21 Jun 2011 03:25
Last Modified:21 Jun 2011 03:25

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