A comprehensive subclass of bi-univalent functions associated with Chebyshev polynomials of the second kind

被引:0
|
作者
Feras Yousef
Somaia Alroud
Mohamed Illafe
机构
[1] The University of Jordan,Department of Mathematics
[2] Navajo Technical University,School of Engineering, Math, and Technology
来源
Boletín de la Sociedad Matemática Mexicana | 2020年 / 26卷
关键词
Analytic functions; Univalent and bi-univalent functions; Taylor–Maclaurin series; Fekete–Szegö problem; Chebyshev polynomials; Coefficient bounds; Subordination; Primary 30C45; Secondary 30C50;
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学科分类号
摘要
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–Szegö inequalities of functions belonging to this subclass are founded. Several connections to some of the earlier known results are also pointed out.
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页码:329 / 339
页数:10
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