Coefficient bounds for a certain family of biunivalent functions defined by Gegenbauer polynomials

I Al-Shbeil, AK Wanas, A Benali… - Journal of …, 2022 - Wiley Online Library
Journal of Mathematics, 2022Wiley Online Library
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–Szeg o¨ problem for functions that belong to this family. Furthermore,
we give connections to some of the earlier known results.
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–Szeg problem for functions that belong to this family. Furthermore, we give connections to some of the earlier known results.
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