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Volume 5, Issue 2, Article 24 |
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Neighborhoods of Certain Classes of Analytic Functions of Complex Order
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Authors: |
G. Murugusundaramoorthy, Hari M. Srivastava, |
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Keywords:
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Analytic functions, Ruscheweyh derivatives, Starlike functions, Convex functions, $delta$-neighborhood, Inclusion relations. |
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Date Received:
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30/01/04 |
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Date Accepted:
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02/02/04 |
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Subject Codes: |
30C45
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Editors: |
Themistocles M. Rassias, |
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Abstract: |
By making use of the familiar concept of neighborhoods of analytic functions, the authors prove several inclusion relations associated with the  -neighborhoods of certain subclasses of analytic functions of complex order, which are introduced here by means of the Ruscheweyh derivatives. Special cases of some of these inclusion relations are shown to yield known results.
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