Faber polynomial coefficient estimates of bi-univalent functions connected with the $q$-convolution

El-Deeb, Sheza M. ; Bulut, Serap

Mathematica Bohemica, Tome 148 (2023) no. 1, pp. 49-64

Abstract (VO)

We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a $q$-convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions and we obtain an estimation for the Fekete-Szegö problem for this class.

Détail

DOI : 10.21136/MB.2022.0173-20

Classification : 05A30, 11B65, 30C45, 47B38
Keywords: Faber polynomial; bi-univalent function; convolution; $q$-derivative operator

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