Certain Subclasses of Analytic and Bi-Univalent Functions Governed by the Gegenbauer Polynomials Linked with q-Derivative-Reference-Cited by-同舟云学术

Certain Subclasses of Analytic and Bi-Univalent Functions Governed by the Gegenbauer Polynomials Linked with q-Derivative

Published:2023-06-02 Issue:6 Volume:15 Page:1192
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Kazımoğlu Sercan¹^ORCID,Deniz Erhan¹^ORCID,Cotîrlă Luminiţa-Ioana²^ORCID

Affiliation:

1. Department of Mathematics, Kafkas University, Kars 36100, Turkey

2. Department of Mathematics, Technical University of Cluj-Napoca, 400020 Cluj-Napoca, Romania

Abstract

In this paper, we introduce and investigate two new subclasses of analytic and bi-univalent functions using the q-derivative operator Dq0<q<1 and the Gegenbauer polynomials in a symmetric domain, which is the open unit disc Λ=℘:℘∈Cand℘<1. For these subclasses of analytic and bi-univalent functions, the coefficient estimates and Fekete–Szegö inequalities are solved. Some special cases of the main results are also linked to those in several previous studies. The symmetric nature of quantum calculus itself motivates our investigation of the applications of such quantum (or q-) extensions in this paper.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/6/1192/pdf

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