Transformation of the Extended Gamma Function Γ> $$_{0,2}^{2,0}$$ [(b,x)] with Applications to Astrophysical Thermonuclear Functions dos Campos, Brazil, 10–14 November 1997.

Abstract

Two representations of the extended gamma functions Γ\(_{0,2}^{2,0}\) [(b,x)] are proved. These representations are exploited to find a transformation relation between two Fox's H-functions. These results are used to solve Fox's H-function in terms of Meijer's G-function for certain values of the parameters. A closed form representation of the kernel of the Bessel type integral transform is also proved.