Initial coefficient bounds for subclasses of bi-univalent functions associated with the Chebyshev polynomials

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Abstract

In this paper, we introduce and investigate new subclasses of bi-univalent functions defined in the open unit disk, involving special functions associated with Chebyshev Polynomials. Furthermore, we find estimates of first two coefficients of functions in these classes, making use of the Chebyshev polynomials. Also, we give Fekete-Szegö inequalities for these function classes. Several consequences of the results are also pointed.

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APA

Güney, H. Ö., Murugusundaramoorthy, G., & Vijaya, K. (2018). Initial coefficient bounds for subclasses of bi-univalent functions associated with the Chebyshev polynomials. Advanced Studies in Contemporary Mathematics (Kyungshang), 28(3), 401–412. https://doi.org/10.17777/ascm2018.28.3.401

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