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Volume 4, Issue 4, Article 64 |
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Neighbourhoods and Partial Sums of Starlike Functions Based on Ruscheweyh Derivatives
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Authors: |
Thomas Rosy, K.G. Subramanian, G. Murugusundaramoorthy, |
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Keywords:
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Univalent, Starlike, Convex. |
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Date Received:
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14/11/02 |
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Date Accepted:
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26/03/03 |
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Subject Codes: |
30C45
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Editors: |
Alexandru Lupas (1942-2007), |
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Abstract: |
In this paper a new class  of starlike functions is introduced. A subclass  of with negative coefficients is also considered. These classes are based on Ruscheweyh derivatives. Certain neighbourhood results are obtained. Partial sums  of functions  in these classes are considered and sharp lower bounds for the ratios of real part of to and  to  are determined.
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