A Comprehensive Subclass of Bi-Univalent Functions Associated with Chebyshev Polynomials of the Second Kind
Complex Variables
2021-02-18 v1
Abstract
Our objective in this paper is to introduce and investigate a newly-constructed subclass of normalized analytic and bi-univalent functions by means of the Chebyshev polynomials of the second kind. Upper bounds for the second and third Taylor-Maclaurin coefficients, and also Fekete-Szego inequalities of functions belonging to this subclass are founded. Several connections to some of the earlier known results are also pointed out.
Keywords
Cite
@article{arxiv.1809.09365,
title = {A Comprehensive Subclass of Bi-Univalent Functions Associated with Chebyshev Polynomials of the Second Kind},
author = {Feras Yousef and Somaia Alroud and Mohamed Illafe},
journal= {arXiv preprint arXiv:1809.09365},
year = {2021}
}