Volume 25 , Issue 3 , PP: 417-434, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Abdulmtalb Hussen 1 * , Mohamed Illafe 2 , Abdelbaset Zeyani 3
Doi: https://doi.org/10.54216/IJNS.250336
In this paper, a new subclass of bi-univalent functions linked to Lucas-Balancing polynomials is introduced. Bounds for the coefficients in the Taylor-Maclaurin series, denoted as |a2| and |a3|, are determined for these functions. The Fekete-Szeg¨o functional problems are also addressed, and bounds for the second Hankel determinant for functions in this specific subclass are established. Additionally, it is shown that by adjusting the parameters in the main findings, several new results can be derived.
Lucas-Balancing polynomials , bi-univalent functions , analytic functions , Taylor-Maclaurin coefficients , Fekete-Szeg¨ , o functional , second Hankel determinant
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