On Certain Sufficient Conditions for Analytic Univalent Functions

Authors

  • G. Murugusundara Moorthy VIT UNIVERSITY
  • N. Magesh

Keywords:

Univalent functions, Starlike functions, Convex functions, Hadamard product, Generalized hypergeometric functions.

Abstract

In this paper, we introduce a new class of functions which is defined by hypergeometric function and obtain its relations with some well-known subclasses of analytic univalent functions. Furthermore, as a special case, we show that convex functions of order 1/2 are also members of the family Bm.

Author Biography

  • G. Murugusundara Moorthy, VIT UNIVERSITY
    Professor of Mathematics

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Published

2011-01-30

Issue

Vol. 4 No. 1: (January 2011)

Section

Mathematical Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

On Certain Sufficient Conditions for Analytic Univalent Functions. (2011). European Journal of Pure and Applied Mathematics, 4(1), 76-82. https://ejpam.com/index.php/ejpam/article/view/520