On Initial Chebyshev Polynomial Coefficient Problem for Certain Subclass of Bi-Univalent Functions

F. Müge Sakar, Ertuğrul Doğan

Abstract


In this paper, we firstly, introduced the subclass \(R_{\Sigma}(\tau ,\alpha ,\gamma ;t)\) satisfying subordinate  conditions. Subsequently, considering this defined subclass, initial coefficient estimations are established using by Chebyshev polynomials expansions, and Fekete-Szegö inequalities are also derived for functions belonging to the said subclass. Furthermore, Some relevant consequences of these results are also discussed.


Keywords


Initial coefficients problem; Bi-univalent function; Chebyshev polinomials; Fekete-Szegö problem

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References


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DOI: http://dx.doi.org/10.26713%2Fcma.v11i1.1331

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