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: | , |
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| Format: | Article |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2010
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| Online Access: | http://journalarticle.ukm.my/1964/ http://www.ukm.my/~ppsmfst/jqma/index.html |
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| Institution: | Universiti Kebangsaan Malaysia |
| Summary: | 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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