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Faber polynomial coefficients estimates for certain subclasses of $ q $-Mittag-Leffler-Type analytic and bi-univalent functions

Authors :
Nazar Khan
Zeya Jia
Shahid Khan
Bilal Khan
Source :
AIMS Mathematics, Vol 7, Iss 2, Pp 2512-2528 (2022)
Publication Year :
2022
Publisher :
American Institute of Mathematical Sciences (AIMS), 2022.

Abstract

In this paper, we introduce the $ q $-analogus of generalized differential operator involving $ q $-Mittag-Leffler function in open unit disk \begin{document}$ \begin{equation*} E = \left \{ z:z\in \mathbb{C\ \ }\text{ and} \ \ \left \vert z\right \vert and define new subclass of analytic and bi-univalent functions. By applying the Faber polynomial expansion method, we then determined general coefficient bounds $ |a_{n}| $, for $ n\geq 3 $. We also highlight some known consequences of our main results.

Details

ISSN :
24736988
Volume :
7
Database :
OpenAIRE
Journal :
AIMS Mathematics
Accession number :
edsair.doi.dedup.....1635e82502dc048e675ea205e249a74a