Coefficient Estimates for New Subclasses of Bi-Univalent Functions Associated with Jacobi Polynomials

Authors

Ala Amourah Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 311, Oman https://orcid.org/0000-0001-9287-7704
Nidal Anakira Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 311, Oman
Jamal Salah College of Applied and Health Sciences, A'Sharqiyah University, Sultanate of Oman https://orcid.org/0000-0003-0211-3677
Ali Jameel Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 311, Oman https://orcid.org/0000-0001-5842-5421

DOI:

https://doi.org/10.37256/cm.5420245341

Keywords:

analytic functions, univalent functions, bi-univalent functions, Jacobi polynomials, fekete-szegö problem

Abstract

Our research introduces new subclasses of analytical functions that are defined by Jacobi polynomials. We then proceed to estimate the Fekete-Szegö functional problem and the Maclaurin coefficients for this specific subfamily, denoted as |a₂| and |a₃|. Furthermore, we demonstrate several new results that emerge when we specialize the parameters used in our main findings.

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Published

2024-11-01

Issue

Contemporary Mathematics, Volume 5 Issue 4 (2024), 4132-6581

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.