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

Nuclear Theory 2024-05-21 v1 Cosmology and Nongalactic Astrophysics Solar and Stellar Astrophysics

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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Cite

@article{arxiv.2405.11325,
  title  = {Fox's H-Functions: A Gentle Introduction Through Astrophysical Thermonuclear Functions},
  author = {Hans J. Haubold and Dilip Kumar and Ashik A. Kabeer},
  journal= {arXiv preprint arXiv:2405.11325},
  year   = {2024}
}

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8 pages