Bell polynomials and modified Bessel functions of half-integral order
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摘要
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).
论文关键词：Bell polynomials,Bessel functions,Combinatorial analysis
论文评审过程：Received 4 March 2015, Revised 27 April 2015, Accepted 18 June 2015, Available online 11 July 2015, Version of Record 11 July 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.06.069
