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

Abbas Kareem Wanas; Timilehin Gideon Shaba

doi:10.2478/gm-2021-0009

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

General Mathematics

Volume 29 (2021): Issue 1 (June 2021)

By: Abbas Kareem Wanas and Timilehin Gideon Shaba

Open Access

|Mar 2022

Abstract

In this article, by making use of Horadam polynomials, we introduce and investigate a certain family 𝔗_Σ (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.

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Articles in this issue

DOI: https://doi.org/10.2478/gm-2021-0009 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 103 - 119

Submitted on: Apr 17, 2021

Accepted on: Jun 13, 2021

Published on: Mar 30, 2022

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Bi-univalent function,

Horadam polynomials,

Upper Bounds,

Fekete-Szegö problem,

Wanas operator

Related subjects:

Mathematics,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2022 Abbas Kareem Wanas, Timilehin Gideon Shaba, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 29 (2021): Issue 1 (June 2021)