Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials. (26th April 2022)

• Record Type: Journal Article
• Authors: Ahmad, Ibrar; Ali Shah, Syed Ghoos; Hussain, Saqib; Darus, Maslina; Ahmad, Babar
• Other Names: Shah Firdous A. Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-04-26
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/2705203
• Languages: English
• ISSNs: 2314-4629

Abstract

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.