We present an analytic proof of the integrals for astrophysical thermonuclear functions which are derived on the basis of Boltzmann–Gibbs statistical mechanics. Among the four different cases of astrophysical thermonuclear functions, those with a depleted high-energy tail and a cut-off at high...

In a recent paper, Saxena et al. (Astro Phys. Space Sci. 282 (2002) 281) developed solutions of generalized fractional kinetic equations in terms of Mittag–Leffler functions. The object of the present paper is to derive the solution of further generalized fractional kinetic equations. Their...

We study the special solutions of discrete Painlevé equations which can be expressed through the discrete equivalent of quadratures. The discrete Painlevé equations examined are the ones which appear in the classification based on affine Weyl groups and which can be written as a system of two...