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Open AccessArticle

A Versatile Integral in Physics and Astronomy and Fox’s H-Function

1
Department of Mathematics and Statistics, McGill University, Montreal, PQ H3A 2K6, Canada
2
Vienna International Centre, A-1400 Vienna, Austria
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Author to whom correspondence should be addressed.
Axioms 2019, 8(4), 122; https://doi.org/10.3390/axioms8040122
Received: 30 September 2019 / Revised: 28 October 2019 / Accepted: 30 October 2019 / Published: 1 November 2019
(This article belongs to the Special Issue Special Functions and Their Applications)
This paper deals with a general class of integrals, the particular cases of which are connected to outstanding problems in physics and astronomy. Nuclear reaction rate probability integrals in nuclear physics, Krätzel integrals in applied mathematical analysis, inverse Gaussian distributions, generalized type-1, type-2, and gamma families of distributions in statistical distribution theory, Tsallis statistics and Beck–Cohen superstatistics in statistical mechanics, and Mathai’s pathway model are all shown to be connected to the integral under consideration. Representations of the integral in terms of Fox’s H-function are pointed out. View Full-Text
Keywords: H-function; generalized beta; gamma; inverse Gaussian densities; pathway model H-function; generalized beta; gamma; inverse Gaussian densities; pathway model
MDPI and ACS Style

Mathai, A.M.; Haubold, H.J. A Versatile Integral in Physics and Astronomy and Fox’s H-Function. Axioms 2019, 8, 122.

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