Subfamilies of Bi-Univalent Functions Defined by Imaginary Error Functions Subordinate to Horadam Polynomials

Authors

  • Tariq Al-hawary Al-Balqa Applied University
  • Basem Aref Frasin
  • Ala Amourah
  • Jamal Salah

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i1.5678

Keywords:

analytic, bi-univalent, fekete-Szegö, horadam, imaginary error function

Abstract

Several different subfamilies of the bi-univalent function family Ω were introduced and studied by numerous researchers using special functions. In the present paper, utilizing the imaginary error function, we introduce and study a new subfamily FΩ(s, r, u, y, t, λ, τ ) of bi-univalent functions in the open unit disk Θ, which are connected to the Horadam polynomials, and determine
initial coefficients in the Maclaurin series of functions in this subfamily. Moreover, we determine the Fekete-Szeg ̈o inequality for functions in this subfamily. The parameters employed in our major results are specialized, and several fresh outcomes are shown to follow.

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Published

2025-01-31

Issue

Vol. 18 No. 1: (January 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Tariq Al-hawary, Basem Aref Frasin, Ala Amourah, Jamal Salah

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How to Cite

Subfamilies of Bi-Univalent Functions Defined by Imaginary Error Functions Subordinate to Horadam Polynomials. (2025). European Journal of Pure and Applied Mathematics, 18(1), 5678. https://doi.org/10.29020/nybg.ejpam.v18i1.5678