Working Paper Article Version 1 This version is not peer-reviewed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

Keywords

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

Subject

PHYSICAL SCIENCES, Acoustics

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