CERTAIN COEFFICIENT INEQUALITIES FOR THE CLASSES OF $q$-STARLIKE AND $q$-CONVEX FUNCTIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 230

Volume : 18 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2022.1803.5
Author :
Murli Manohar Gour (Department of Mathematics, Vivekananda Global University, Jaipur, Rajasthan, INDIA)
Sunil Joshi (Department of Mathematics and Statistics, Manipal University Jaipur, INDIA)
Sunil Dutt Purohit (Department of Mathematics, Rajasthan Technical University, Kota, INDIA)

Abstract

In this paper we determine certain coefficient inequalities for the classes of $q$-starlike and $q$-convex function and find the sufficient conditions for generalized Bessel function to belonging in these classes.

Keywords and Phrases

Univalent functions, $q$-convex functions, $q$-starlike functions, $q$-derivative operator, and generalized Bessel function.

A.M.S. subject classification

30C45, 30C50, 30C80.

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