Abstract:
The generalized Gauss hypergeometric function constitutes one of the most fundamental
classes of special functions due to its rich analytical structure and its extensive applications
in mathematical analysis, differential equations, mathematical physics, and applied sciences.
The function serves as a unifying framework for numerous elementary and higher
transcendental functions while providing effective analytical tools for investigating integral
representations, transformation identities, convergence properties, and parameter-dependent
behaviour. Consequently, the analytical investigation of generalized Gauss hypergeometric
functions continues to attract considerable attention in modern special function theory.
Download full Lenght Paper......