Application of Gegenbauer polynomials to certain classes of bi-univalent functions of order $\nu+i\varsigma$
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Abstract
In this paper, a new class of bi-univalent functions that are described by Gegenbauer polynomials is presented. We obtain the estimates of the Taylor-Maclaurin coefficients $ \left\vert m_{2}\right\vert $ and $\left\vert m_{3}\right\vert $ for each function in this class of bi-univalent functions. In addition, the Fekete--Szeg\"{o} problems function new are also studied.
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References
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