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Certain subclass of analytic functions with respect to symmetric points associated with conic region

Authors :
Huo Tang
Kadhavoor Ragavan Karthikeyan
Gangadharan Murugusundaramoorthy
Source :
AIMS Mathematics, Vol 6, Iss 11, Pp 12863-12877 (2021)
Publication Year :
2021
Publisher :
AIMS Press, 2021.

Abstract

The purpose of this paper is to introduce and study a new subclass of analytic functions with respect to symmetric points associated to a conic region impacted by Janowski functions. Also, the study has been extended to quantum calculus by replacing the ordinary derivative with a q-derivative in the defined function class. Interesting results such as initial coefficients of inverse functions and Fekete-Szegö inequalities are obtained for the defined function classes. Several applications, known or new of the main results are also presented.

Details

Language :
English
ISSN :
24736988
Volume :
6
Issue :
11
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.0fa20440b91e4ee0aec157e4689f3045
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2021742?viewType=HTML