Coefficient estimates for a subclass of bi-univalent functions involving the q-derivatives operator

Timilehin Gideon Shaba; Abbas Kareem Wanas

doi:10.2478/gm-2021-0004

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Coefficient estimates for a subclass of bi-univalent functions involving the q-derivatives operator

General Mathematics

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

By: Timilehin Gideon Shaba and Abbas Kareem Wanas

Open Access

|Mar 2022

Abstract

In this current study, we introduce and investigate a new subclass of holormorphic and bi-univalent functions 𝕰 ^η,ϕ_q(ϑ) in the unit disk λ associated with q-derivative operator. The coefficient estimates |b₂| and |b₃| on the new subclass are obtained and important results are indicated.

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Articles in this issue

DOI: https://doi.org/10.2478/gm-2021-0004 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 41 - 54

Submitted on: Jan 14, 2021

Accepted on: Feb 27, 2021

Published online: Mar 30, 2022

Published in print: Jun 1, 2021

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Keywords:

Analytic functions,

q-Derivative,

Bi-Univalent functions,

Coefficient estimates

MSC:

Primary 30C45,

Secondary 30C50

Related subjects:

Mathematics,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2022 Timilehin Gideon Shaba, Abbas Kareem Wanas, 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)