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Volume 10, Issue 3, Article 66 |
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A Generalized Class of $k$-Starlike Functions with Varying Arguments of Coefficients
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Authors: |
J. Dziok, G. Murugusundaramoorthy, K. Vijaya, |
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Keywords:
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Univalent functions, starlike functions, varying arguments, coefficient estimates. |
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Date Received:
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01/10/2008 |
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Date Accepted:
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26/06/2009 |
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Subject Codes: |
30C45.
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Editors: |
Sever S. Dragomir, |
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Abstract: |
In terms of Wright generalized hypergeometric function we define a class of analytic functions. The class generalize well known classes of k-starlike functions and k-uniformly convex functions. Necessary and sufficient coefficient bounds are given for functions in this class. Further distortion bounds, extreme points and results on partial sums are investigated.
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