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Zaninetti, L. (2020) New Probability Distributions in Astrophysics IV. The Relativistic Maxwell-Boltzmann Distribution. International Journal of Astronomy and Astrophysics, 10, 302-318.
https://doi.org/10.4236/ijaa.2020.104016

has been cited by the following article:

• TITLE: Relativistic Corrections to the Maxwellian Distribution for Astrophysical and Fusion Plasmas

  AUTHORS: Amaury de Kertanguy

  KEYWORDS: Maxwell-Jüttner Distribution, Relativity Modification to Maxwell Law, Lorentz Factor, Linear Stark Effect, Plasma Physics

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.8, August 24, 2023

  ABSTRACT: We present calculations and improvement inspired by the work of Lorenzo Zaninetti, published in 2020, it concerns a problem whose origin dates back 1911 with so called Maxwell-Jüttner distribution these lies on the Lorentz factor , with . This work uses powerful modern software for a reconstruction of Zaninetti work, which computes with special functions, these are included in the Mathematica software, as by instance Bessel and Meijer G-functions ready to manipulate. A progress is made, it is possible to perform an integral that is not computed in Zaninetti paper. This author connects the correct relativistic probability law: the Maxwell-Jüttner to the synchrotron emissivity with a magnetic B field, this work generalize these results, using the linear Stark effect and deals with an electric field E.