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

In this paper, we introduce and investigate a new family, denoted by 𝒲Σsc (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.
</abstract>

In this paper, we introduce and investigate a new family, denoted by 𝒲Σsc (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.

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

College of Science University of Al-Qadisiyah

Acta Universitatis Sapientiae, Mathematica

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

In this paper, we introduce and investigate a new family, denoted by 𝒲Σsc (λ, η, δ, r), of normalized holomorphic and bi-univalent functions with respect to...

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

Published Online: Nov 15, 2023

Page range: 198 - 212

Received: Jan 16, 2023

DOI: https://doi.org/10.2478/ausm-2023-0010

Keywords
holormorphic function, bi-univalent function, upper bounds, Fekete-Szeg˝o functional, symmetric conjugate points, Borel distribution, Horadam polynomials, coefficient estimates

© 2023 Abbas Kareem Wanas, published by Sciendo

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

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

Published Online: Nov 15, 2023

Page range: 198 - 212

Received: Jan 16, 2023

DOI: https://doi.org/10.2478/ausm-2023-0010

Keywordsholormorphic function, bi-univalent function, upper bounds, Fekete-Szeg˝o functional, symmetric conjugate points, Borel distribution, Horadam polynomials, coefficient estimates

© 2023 Abbas Kareem Wanas, published by Sciendo

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

Keywords
holormorphic function, bi-univalent function, upper bounds, Fekete-Szeg˝o functional, symmetric conjugate points, Borel distribution, Horadam polynomials, coefficient estimates