Unified Representations of Generalized Voigt Function via polynomials and numbers

In this work, we introduce a new generalized form of the Voigt function and investigate its analytical structure through both series and integral representation. These representations are developed in connection with generalized Humbert polynomials, generalized (p, q)-Fibonacci polynomials and several related polynomial families. By establishing these links, we drive a unified framework that brings together a variety of existing results scattered across the literature. The proposed approach not only provides deeper insight into the structural properties of the generalized Voigt function but also reveals new interconnections among special functions and polynomial system.