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  Volume 7, Issue 5, Article 191
Inclusion and Neighborhood Properties of Certain Subclasses of Analytic and Multivalent Functions of Complex Order

    Authors: Hari M. Srivastava, K. Suchithra, B. Adolf Stephen, S. Sivasubramanian,  
    Keywords: Analytic functions, $p$-valent functions, Coefficient bounds, Multiplier transformations, Neighborhood of analytic functions, Inclusion relations.  
    Date Received: 08/07/06  
    Date Accepted: 11/07/06  
    Subject Codes:

Primary 30C45.

    Editors: Themistocles M. Rassias,  

In the present paper, the authors prove several inclusion relations associated with the $ (n, delta)$-neighborhoods of certain subclasses of $ p$-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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