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

Ibrar Ahmad, Syed Ghoos Ali Shah, Saqib Hussain, Maslina Darus, Babar Ahmad and Firdous A. Shah

Journal of Mathematics, 2022, vol. 2022, 1-8

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2705203

DOI: 10.1155/2022/2705203

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