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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2010
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my-ukm.journal.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 |
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| 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 |
| format |
Article |
| author |
S. Faraj Ramadan, Maslina Darus, |
| spellingShingle |
S. Faraj Ramadan, Maslina Darus, Generalised differential operator defined by analytic functions associated with negative coefficients |
| author_facet |
S. Faraj Ramadan, Maslina Darus, |
| author_sort |
S. Faraj Ramadan, |
| title |
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_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_sort |
generalised differential operator defined by
analytic functions associated with
negative coefficients |
| publisher |
Penerbit Universiti Kebangsaan Malaysia |
| publishDate |
2010 |
| url |
http://journalarticle.ukm.my/1964/ http://www.ukm.my/~ppsmfst/jqma/index.html |
| _version_ |
1643735215077588992 |