New family of bi-univalent functions with respect to symmetric conjugate points associated with Borel distribution

Abbas Kareem Wanas; Luminiţa-Ioana Cotîrlă

doi:10.2478/ausm-2023-0010

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New family of bi-univalent functions with respect to symmetric conjugate points associated with Borel distribution

Acta Universitatis Sapientiae, Mathematica

Volume 15 (2023): Issue 1 (November 2023)

By: Abbas Kareem Wanas and Luminiţa-Ioana Cotîrlă

Open Access

|Nov 2023

Abstract

In this paper, we introduce and investigate a new family, denoted by 𝒲_Σ^sc (λ, η, δ, r), of normalized holomorphic and bi-univalent functions with respect to symmetric conjugate points, defined in 𝕌, by making use the Borel distribution series, which is associated with the Horadam polynomials. We derive estimates on the initial Taylor-Maclaurin coefficients and solve the Fekete-Szeg˝o type inequalities for functions in this family.

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Articles in this issue

DOI: https://doi.org/10.2478/ausm-2023-0010 | Journal eISSN: 2066-7752

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Language: English

Page range: 198 - 212

Submitted on: Jan 16, 2023

Published online: Nov 15, 2023

Published in print: Nov 1, 2023

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Keywords:

holormorphic function,

bi-univalent function,

upper bounds,

Fekete-Szeg˝o functional,

symmetric conjugate points,

Borel distribution,

Horadam polynomials,

coefficient estimates

MSC:

30C45,

30C20

Related subjects:

Mathematics,

General mathematics

© 2023 Abbas Kareem Wanas, Luminiţa-Ioana Cotîrlă, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 15 (2023): Issue 1 (November 2023)