The Imaginary Error Function and New Classes of Bi-Univalent Functions Subordinate to Jacobi Polynomials

Authors

  • Omar Alnajar
  • Ala Amourah
  • Abdullah Alsoboh College of Applied and Health Sciences, A’Sharqiyah University, Post Box No. 42, Post Code No. 400, Ibra
  • Omar Khabour
  • Mohammed Al-Hatmi
  • M. Al-Hawari
  • Tala Sasa

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.7037

Keywords:

Bi-Univalent Functions, Error Function, Subordinate

Abstract

A unique family of bi-univalent functions, commonly known as functions that are defined on the symmetric domain, is presented and investigated in this paper. We also presented and examined the subfamily of the functions. The imaginary error function establishes a connection between the relevant subfamily and the Jacobi polynomial. In addition to this, we obtained the initial coefficients of the Maclaurin series for functions that are members of this subfamily. Additionally, we proceed to do an analysis of the Fekete-Szegö inequality associated with these functions.

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Complex Analysis

License

Copyright (c) 2025 Omar Alnajar, Ala Amourah, Abdullah Alsoboh, Omar Khabour, Mohammed Al-Hatmi, M. Al-Hawari, Tala Sasa

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How to Cite

The Imaginary Error Function and New Classes of Bi-Univalent Functions Subordinate to Jacobi Polynomials. (2025). European Journal of Pure and Applied Mathematics, 18(4), 7037. https://doi.org/10.29020/nybg.ejpam.v18i4.7037