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 (unauthenticated)
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 (unauthenticated)
Ali Jameel Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 311, Oman https://orcid.org/0000-0001-5842-5421 (unauthenticated)

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.

How to Cite

Coefficient Estimates for New Subclasses of Bi-Univalent Functions Associated with Jacobi Polynomials. Contemp. Math. [Internet]. 2024 Nov. 1 [cited 2025 Dec. 24];5(4):4712-25. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/5341

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