Transformation of the extended Gamma function $Γ^{2,0}_{0,2}[(b,x)]$ with applications to astrophysical thermonuclear functions

Details Transformation of the extended Gamma function $Γ^{2,0}_{0,2}[(b,x)]$ with applications to astrophysical thermonuclear functions Transformation of the extended Gamma function $Γ^{2,0}_{0,2}[(b,x)]$ with applications to astrophysical thermonuclear functions

1998-11-06

arxiv.org/abs/astro-ph/9811110v1

Astrophys.Space Sci. 262 (1999) 263-270

Astronomy and Astrophysics

Astrophysics

9 pages, LaTeX, submitted to Astrophys. Space Sci

Scientific paper

Two representations of the extended gamma functions $\Gamma^{2,0}_{0,2}[(b,x)]$ 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.

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