THE NEUTROSOPHIC POISSON DISTRIBUTION AND THE GENERALIZED BIVARIATE FIBONACCI-LIKE POLYNOMIAL ESTIMATE COEFFICIENTS FOR SUBCLASSES OF BI-UNIVALENT FUNCTIONS

Abstract

In this paper, we introduce and investigate several new subclasses of bi-univalent functions by employing the Neutrosophic Poisson distribution in conjunction with a generalizedfamily of bivariate Fibonacci-like polynomials, which includes the well-known Horadamand Chebyshev polynomials as special cases. By applying analytic and geometric functiontheory techniques, we obtain explicit upper bounds for the initial TaylorMaclaurin coefficients of functions belonging to these subclasses. Moreover, the classical Fekete-Szegö problem is examined and the corresponding estimates are derived.