2011/09/23 by A. M. Mathai, H. J. Haubold, Mathai, A. M. +1
Economics, Econometrics and Finance · Engineering · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Financial Risk and Volatility Modeling #Instrumentation and Methods for Astrophysics (astro-ph.IM) #Mathematical Physics (math-ph) #Radiative Heat Transfer Studies #Solar and Stellar Astrophysics (astro-ph.SR) #Statistical Mechanics and Entropy #astro-ph.IM #astro-ph.SR #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1109.5173
11 pages, LaTeX
arxiv created 2011/09/23 · openalex publication_date 2011/09/23 · arxiv updated 2011/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper deals with a general class of integrals, the particular cases of which are connected to outstanding problems in astronomy and physics. Reaction rate probability integrals in the theory of nuclear reaction rates, Krätzel integrals in applied analysis, inverse Gaussian distribution, generalized type-1, type-2 and gamma families of distributions in statistical distribution theory, Tsallis statistics and Beck-Cohen superstatistics in statistical mechanics and the general pathway model are all shown to be connected to the integral under consideration. Representations of the integral in terms of generalized special functions such as Meijer's G-function and Fox's H-function are also pointed out.