Generalised differential operator defined by analytic functions associated with negative coefficients

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 de...

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Main Authors: S. Faraj Ramadan, Maslina Darus
Format: Article
Published: Penerbit Universiti Kebangsaan Malaysia 2010
Online Access:http://journalarticle.ukm.my/1964/
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author S. Faraj Ramadan,
Maslina Darus,
author_facet S. Faraj Ramadan,
Maslina Darus,
author_sort S. Faraj Ramadan,
building UKM Institutional Repository
collection Online Access
description 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
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institution Universiti Kebangasaan Malaysia
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spelling ukm-19642011-06-21T03:25:13Z http://journalarticle.ukm.my/1964/ Generalised differential operator defined by analytic functions associated with negative coefficients S. Faraj Ramadan, Maslina Darus, 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 Penerbit Universiti Kebangsaan Malaysia 2010-07 Article PeerReviewed 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 http://www.ukm.my/~ppsmfst/jqma/index.html
spellingShingle S. Faraj Ramadan,
Maslina Darus,
Generalised differential operator defined by analytic functions associated with negative coefficients
title Generalised differential operator defined by analytic functions associated with negative coefficients
title_full Generalised differential operator defined by analytic functions associated with negative coefficients
title_fullStr Generalised differential operator defined by analytic functions associated with negative coefficients
title_full_unstemmed Generalised differential operator defined by analytic functions associated with negative coefficients
title_short Generalised differential operator defined by analytic functions associated with negative coefficients
title_sort generalised differential operator defined by analytic functions associated with negative coefficients
url http://journalarticle.ukm.my/1964/
http://journalarticle.ukm.my/1964/