Coefficient Estimate Problems For A New Subclass of Bi-univalent Functions Linked with the Generalized Bivariate Fibonacci-Like Polynomial

Year 2024, Volume: 9 Issue: 2, 71 - 84, 30.08.2024

Hasan Hüseyin Güleç , İbrahim Aktaş

https://doi.org/10.30931/jetas.1475271

Abstract

In this article, using the definition of generalized bivariate Fibonacci-like polynomials that include Horadam and Chebyshev polynomials a novel subclass of bi-univalent functions are introduced. Then, some bounds are determined for the initial Taylor-Maclaurin coefficients of the functions belonging to this new subclass. Further, the well-known Fekete-Szeg\"{o} problem is discussed for the defined subclass. Finally, certain remarks and corollaries are indicated for the some special values of variables.

Keywords

Bi-univalent function, coefficient estimates, Fekete-Szeg\"{o} functional, generalized bivariate Fibonaci-like polynomial

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