Coefficient Bounds for Subclasses of Biunivalent Functions Associated with the Chebyshev Polynomials

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Abstract

We introduce and investigate new subclasses of biunivalent functions defined in the open unit disk, involving Sǎlǎgean operator associated with Chebyshev polynomials. Furthermore, we find estimates of the 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 out.

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Güney, H. Ö., Murugusundaramoorthy, G., & Vijaya, K. (2017). Coefficient Bounds for Subclasses of Biunivalent Functions Associated with the Chebyshev Polynomials. Journal of Complex Analysis, 2017. https://doi.org/10.1155/2017/4150210

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