Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials-Reference-Cited by-同舟云学术

Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials

Published:2022-04-26 Issue: Volume:2022 Page:1-8
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Ahmad Ibrar¹^ORCID,Ali Shah Syed Ghoos¹^ORCID,Hussain Saqib¹^ORCID,Darus Maslina²^ORCID,Ahmad Babar³

Affiliation:

1. Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus 22060, Islamabad, Pakistan

2. Department of Mathematical Sciences, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia

3. Department of Mathematics, COMSATS University Islamabad, Park Road, Tarlai Kalan, Islamabad, Pakistan

Abstract

In this paper, we introduce and investigate a new subclass of bi-univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class. We also study the famous Fekete-Szegö type problem for this subclass which is obtained. We will also point out many special cases as corollaries.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2022/2705203.pdf

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