Fox's H-Functions: A Gentle Introduction Through Astrophysical Thermonuclear Functions

2024/05/18 by Haubold, Hans J., Kumar, Dilip, Kabeer, Ashik A.
#Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #Nuclear Theory (nucl-th) #Solar and Stellar Astrophysics (astro-ph.SR)

paper · doi:10.48550/arxiv.2405.11325

Abstract

Needed for cosmological and stellar nucleosynthesis, we are studying the closed-form analytic evaluation of thermonuclear reaction rates. In this context, we undertake a comprehensive analysis of three distinct velocity distributions, namely the Maxwell-Boltzmann distribution, the pathway distribution, and the Mittag-Leffer distribution. We emphasize the utilization of Meijer G-function and Fox H-function which are special functions of mathematical physics.

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