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

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How to Cite

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