Applications of (p, q)-Gegenbauer Polynomials on a Family of Bi-univalent Functions-Reference-Cited by-同舟云学术

Applications of (p, q)-Gegenbauer Polynomials on a Family of Bi-univalent Functions

Published:2023-05-08 Issue: Volume: Page:271-284
ISSN:2581-8147
Container-title:Earthline Journal of Mathematical Sciences
language:en
Short-container-title:EJMS

Author:

Oyekan Ezekiel Abiodun¹,Ayodele Timothy²,Lasode Ayotunde Olajide³

Affiliation:

1. Department of Mathematical Sciences, Olusegun Agagu University of Science and Technology, Okitipupa, Nigeria

2. School of Creative Technologies, University of Bolton, BL3 5AB, UK

3. Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, Ilorin, Nigeria

Abstract

In this work, we investigate the (p, q)-Gegenbauer polynomials for a class of analytic and bi-univalent functions defined in the open unit disk, with respect to subordination. We give an elementary proof to establish some estimates for the coefficient bounds for functions in the new class. We conclude the study by giving a result of the Fekete-Szegö theorem. A corollary was given to show some results of some subclasses of our new class.

Publisher

Earthline Publishers

Subject

General Medicine

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