<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this article, by making use of Horadam polynomials, we introduce and investigate a certain family 𝔗<sub>Σ</sub> (λ, α, β, <italic>k</italic>, <italic>γ</italic>; <italic>x</italic>) of analytic and biunivalent functions associated with Wanas operator which defined in the open unit disk 𝕌. We establish upper bounds for the initial Taylor-Maclaurin coefficients and obtain the Fekete-Szegö inequality of functions belonging to this family. We also point out several certain special cases for our results.</p>
</abstract>

In this article, by making use of Horadam polynomials, we introduce and investigate a certain family 𝔗Σ (λ, α, β, k, γ; x) of analytic and biunivalent functions associated with Wanas operator which defined in the open unit disk 𝕌. We establish upper bounds for the initial Taylor-Maclaurin coefficients and obtain the Fekete-Szegö inequality of functions belonging to this family. We also point out several certain special cases for our results.

Horadam polynomials and their applications to a certain family of bi-univalent functions defined by Wanas operator

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this article, by making use of Horadam polynomials, we introduce and investigate a certain family 𝔗Σ (λ, α, β, k, γ; x) of analytic and biunivalent...

Horadam polynomials and their applications to a certain family of bi-univalent functions defined by Wanas operator

Publié en ligne: 30 mars 2022

Pages: 103 - 119

Reçu: 17 avr. 2021

Accepté: 13 juin 2021

DOI: https://doi.org/10.2478/gm-2021-0009

Mots clés
Bi-univalent function, Horadam polynomials, Upper Bounds, Fekete-Szegö problem, Wanas operator

© 2021 Abbas Kareem Wanas et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Horadam polynomials and their applications to a certain family of bi-univalent functions defined by Wanas operator

Publié en ligne: 30 mars 2022

Pages: 103 - 119

Reçu: 17 avr. 2021

Accepté: 13 juin 2021

DOI: https://doi.org/10.2478/gm-2021-0009

Mots clésBi-univalent function, Horadam polynomials, Upper Bounds, Fekete-Szegö problem, Wanas operator

© 2021 Abbas Kareem Wanas et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Bi-univalent function, Horadam polynomials, Upper Bounds, Fekete-Szegö problem, Wanas operator