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

Authors

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

How to Cite

1.
Amourah A, Anakira N, Salah J, Jameel A. Coefficient Estimates for New Subclasses of Bi-Univalent Functions Associated with Jacobi Polynomials. Contemp. Math. [Internet]. 2024 Nov. 1 [cited 2024 Nov. 7];5(4):4712-25. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5341