NEW APPLICATIONS OF A $q$-CALCULUS OPERATOR REGARDING NEW SUBCLASSES OF ANALYTIC FUNCTIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 9

Volume : 20 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2024.2002.13
Author :
Chidananda B. J. (Department of Mathematics, JSS College of Arts, Science and Commerce, Mysuru – 570025, Karnataka, INDIA)
Dileep L. N. (Department of Mathematics, Vidyavardhaka College of Engineering, Mysuru – 570002, Karnataka, INDIA)
Ravikumar N. (Department of Mathematics, JSS College of Arts, Science and Commerce, Mysuru – 570025, Karnataka, INDIA)

Abstract

In the present article, a new subclasses of analytic function is introduced by making use of linear multiplier fractional $q$-differentiable operator. For functions belonging to these classes we obtained coefficient estimates, extreme points, $q$- Bernardi integral operator and many more properties.

Keywords and Phrases

Analytic functions, Univalent functions, Bernardi Operator, Linear Multiplier Fractional $q$-Differentialble Operator.

A.M.S. subject classification

30C45, 30C50.

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