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arXiv · 1809.09365

A Comprehensive Subclass of Bi-Univalent Functions Associated with Chebyshev Polynomials of the Second Kind

Feras Yousef·Somaia Alroud·Mohamed Illafe
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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.

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Feras Yousef, Somaia Alroud, Mohamed Illafe. 2018-09-25. A Comprehensive Subclass of Bi-Univalent Functions Associated with Chebyshev Polynomials of the Second Kind. https://doi.org/10.1007/s40590-019-00245-3

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