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Volume 7, Issue 5, Article 191 |
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Inclusion and Neighborhood Properties of Certain Subclasses of Analytic and Multivalent Functions of Complex Order
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Authors: |
Hari M. Srivastava, K. Suchithra, B. Adolf Stephen, S. Sivasubramanian, |
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Keywords:
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Analytic functions, $p$-valent functions, Coefficient bounds, Multiplier transformations, Neighborhood of analytic functions, Inclusion relations. |
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Date Received:
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08/07/06 |
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Date Accepted:
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11/07/06 |
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Subject Codes: |
Primary 30C45.
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Editors: |
Themistocles M. Rassias, |
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Abstract: |
In the present paper, the authors prove several inclusion relations associated with the  -neighborhoods of certain subclasses of  -valently analytic functions of complex order, which are introduced here by means of a family of extended multiplier transformations. Special cases of some of these inclusion relations are shown to yield known results.
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