On a Certain Class of Bi-Univalent Functions in Connection with Gegenbauer Polynomials

Rasheed Olawale Ayinla, Ayotunde Olajide Lasode

Abstract

Recent direction of studies shows that there is a kin connection between regular functions and orthogonal polynomials. In this paper, we study a new class of regular and bi-univalent functions that involve the familiar Gegenbauer polynomials. Some achieved results include some early coefficient bounds and the upper estimates for the Fekete-Szegö inequalities with real and complex parameters.

Full Text:

PDF
Pan-Amer. J. Math. 3 (2024), 5
DOI: https://doi.org/10.28919/cpr-pajm/3-5
This article was published on February 12, 2024 by Mathyze, under a Creative Commons Attribution 4.0 International License.