Rational approximations for the Holtsmark distribution, its cumulative and derivative

Details Rational approximations for the Holtsmark distribution, its cumulative and derivative Rational approximations for the Holtsmark distribution, its cumulative and derivative

Jul 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986jqsrt..36....1h&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 36, July 1986, p. 1-5.

Physics

8

Asymptotic Series, Convergence, Distribution Functions, High Temperature Plasmas, Pade Approximation, Plasma Density, Integral Equations, Recursive Functions

Scientific paper

The technique of Pade approximants is here used to calculate rational approximations for the Holtsmark functions, its cumulative, and its derivative. The resulting corefficients are shown in tables. The approximations are valid for all values of the reduced field strength beta, and have maximum errors of approximately 10 to the -8th, 10 to the -9th, and 10 to the -7th, respectively.

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