Analytic approximation for the modified Bessel function I−2/3(x)

In the present work an analytic approximation to modified Bessel function of negative fractional order I−2/3(x) is presented. The validity of the approximation is for every positive value of the independent variable. The accuracy is high in spite of the small number (4) of parameters used. The appro...

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Bibliographic Details
Published in:Journal of physics. Conference series 2017-12, Vol.936 (1), p.12020
Main Authors: Martin, Pablo, Olivares, Jorge, Maass, Fernando
Format: Article
Language:English
Subjects:
Approximation
Bessel functions
Independent variables
Mathematical analysis
Physics
Power series
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Summary:In the present work an analytic approximation to modified Bessel function of negative fractional order I−2/3(x) is presented. The validity of the approximation is for every positive value of the independent variable. The accuracy is high in spite of the small number (4) of parameters used. The approximation is a combination of elementary functions with rational ones. Power series and assymptotic expansions are simultaneously used to obtain the approximation.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/936/1/012020