MAPPING PROPERTIES OF HYPERGEOMETRIC TRANSFORMS ON CERTAIN CLASS OF ANALYTIC FUNCTIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 207

Volume : 17 , Issue : 3
DOI:
Author :
Virendra Upadhayay (Department of Physical Sciences, M. G. C. G. V. Chitrakoot - 485780, (M.P.), INDIA)
K. K. Dixit (Department of Mathematics, Janta College, Bakewar, Etawah - 206124, (U.P.), INDIA)
Ankit Dixit (Department of Physical Sciences, M. G. C. G. V. Chitrakoot - 485780, (M.P.), INDIA)
Saurabh Porwal (Department of Mathematics, Ram Sahai Government Degree College, Bairi-Shivrajpur, Kanpur - 209205, (U.P.), INDIA)

Abstract

The purpose of the present paper is to obtain certain sufficient condition for analytic function defined by a generalized Hypergeometric operator for the class $UCD(\beta)$. Relevant connection of the results presented here with various well-known results are briefly indicated.

Keywords and Phrases

Analytic functions, Univalent functions, Hypergeometric functions.

A.M.S. subject classification

30C45.

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