Generalized Hypergeometric Functions and Associated Families of k-Uniformly Convex and k-Starlike Functions

نویسنده

  • H. M. Srivastava
چکیده

In this lecture, we aim at presenting a certain linear operator which is defined by means of the Hadamard product (or convolution) with a generalized hypergeometric function and then investigating its various mapping as well as inclusion properties involving such subclasses of analytic and univalent functions as (for example) k-uniformly convex functions and k-starlike functions. Relevant connections of the definitions and results presented in this lecture with those in several earlier and recent works on the subject are also pointed out. 2000 Mathematical Subject Classification: Primary 30C45, 33C20; Secondary 30C50.

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تاریخ انتشار 2007