Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials

Isra Al-Shbeil, Abbas Kareem Wanas, Abdelkader Benali, Adriana Cătaş and Barbara Martinucci

Journal of Mathematics, 2022, vol. 2022, 1-7

Abstract: In the present work, by making use of Gegenbauer polynomials, we introduce and study a certain family of λ-pseudo bistarlike and λ-pseudo biconvex functions with respect to symmetrical points defined in the open unit disk. We obtain estimates for initial coefficients and solve the Fekete–Szego¨ problem for functions that belong to this family. Furthermore, we give connections to some of the earlier known results.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6946424

DOI: 10.1155/2022/6946424

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