Working Paper Article Version 1 This version is not peer-reviewed

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

Version 1 : Received: 4 May 2021 / Approved: 6 May 2021 / Online: 6 May 2021 (12:33:07 CEST)

A peer-reviewed article of this Preprint also exists.

Kumar, D.; Haubold, H.J. Analytic Representation of Maxwell—Boltzmann and Tsallis Thermonuclear Functions with Depleted Tail. Axioms 2021, 10, 115. Kumar, D.; Haubold, H.J. Analytic Representation of Maxwell—Boltzmann and Tsallis Thermonuclear Functions with Depleted Tail. Axioms 2021, 10, 115.

Journal reference: Axioms 2021, 10, 115
DOI: 10.3390/axioms10020115

Abstract

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 further work in this area.

Subject Areas

thermonuclear function; pathway model; reaction rate probability integral; H-function; Mellin transform

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