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Article

Analytic Representation of Maxwell—Boltzmann and Tsallis Thermonuclear Functions with Depleted Tail

1
Department of Mathematics, Kariavattom Campus, University of Kerala, Thiruvananthapuram 695 581, Kerala, India
2
Office for Outer Space Affairs, United Nations, Vienna International Center, A-1400 Vienna, Austria
*
Author to whom correspondence should be addressed.
Academic Editor: Constantino Tsallis
Axioms 2021, 10(2), 115; https://doi.org/10.3390/axioms10020115
Received: 4 May 2021 / Revised: 1 June 2021 / Accepted: 2 June 2021 / Published: 7 June 2021
The closed forms of the non-resonant thermonuclear function in the Maxwell–Boltzmann and Tsallis case with depleted tail are obtained in generalized special functions. The results are written in terms of H-function of two variables. The importance of the results in this paper lies in the fact that the reaction rate probability integrals in Maxwell-Boltzmann and Tsallis cases are not obtained by the conventional method of approximation or by means of a single variable transform technique but by means of a two variable transform method. The behaviour of the depleted non-resonant thermonuclear functions are examined using graphs. The results in the paper are of much interest to astrophysicists and statisticians in their future work in this area. View Full-Text
Keywords: H-function; mellin transform; two variable mellin transform; pathway model; reaction rate probability integral H-function; mellin transform; two variable mellin transform; pathway model; reaction rate probability integral
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MDPI and ACS Style

Kumar, D.; Haubold, H.J. Analytic Representation of Maxwell—Boltzmann and Tsallis Thermonuclear Functions with Depleted Tail. Axioms 2021, 10, 115. https://doi.org/10.3390/axioms10020115

AMA Style

Kumar D, Haubold HJ. Analytic Representation of Maxwell—Boltzmann and Tsallis Thermonuclear Functions with Depleted Tail. Axioms. 2021; 10(2):115. https://doi.org/10.3390/axioms10020115

Chicago/Turabian Style

Kumar, Dilip, and Hans J. Haubold 2021. "Analytic Representation of Maxwell—Boltzmann and Tsallis Thermonuclear Functions with Depleted Tail" Axioms 10, no. 2: 115. https://doi.org/10.3390/axioms10020115

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