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- Title
Fox's H -Functions: A Gentle Introduction to Astrophysical Thermonuclear Functions.
- Authors
Haubold, Hans J.; Kumar, Dilip; Kabeer, Ashik A.
- 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 largely distinct velocity distributions, namely the Maxwell–Boltzmann distribution, the pathway distribution, and the Mittag-Leffler distribution. Moreover, a natural generalization of the Maxwell–Boltzmann velocity distribution is discussed. Furthermore, an explicit evaluation of the reaction rate integral in the high-energy cut-off case is carried out. Generalized special functions of mathematical physics like Meijer's G-function and Fox's H-functions and their utilization in mathematical physics are the prime focus of this paper.
- Subjects
MATHEMATICAL physics; MATHEMATICAL functions; SPECIAL functions; VELOCITY; GENERALIZATION
- Publication
Axioms (2075-1680), 2024, Vol 13, Issue 8, p532
- ISSN
2075-1680
- Publication type
Article
- DOI
10.3390/axioms13080532