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

Authors : Hasan Hüseyin Güleç, İbrahim Aktaş

Pages : 71-84

Doi:10.30931/jetas.1475271

View : 77 | Download : 67

Publication Date : 2024-08-30

Article Type : Research Paper

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

ORIGINAL ARTICLE URL