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

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...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 11; pp. 12863 - 12877
Main Authors Tang, Huo, Karthikeyan, Kadhavoor Ragavan, Murugusundaramoorthy, Gangadharan
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
analytic functions
bazilevič functions
coefficient inequalities
fekete-szegö problem
jackson's q-derivative operator
q-calculus
starlike and convex functions
subordination
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021742