Bell polynomials and modified Bessel functions of half-integral order

Pierpaolo Natalini and Paolo Emilio Ricci

Applied Mathematics and Computation, 2015, vol. 268, issue C, 270-274

Abstract: Some representation formulas for the modified Bessel functions in terms of Bell polynomials are derived. In particular, the cases of the half-integral order modified Bessel functions of the first and second kind are considered. We also consider the case of the half-integral order modified Bessel functions of the third kind (the so called Henkel’s functions).

Keywords: Bell polynomials; Bessel functions; Combinatorial analysis (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:270-274

DOI: 10.1016/j.amc.2015.06.069

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