Title: A note on some relation formulae involving Bessel functions
Abstract: AbstractIn the literature, we find a formula relating the modified Bessel functions Iν(z) and Kν(z) that only seems to work for arg z≤0. We provide a formula for any complex number z. This derivation allows us to obtain some new formulae involving, in the one hand, Bessel functions of the second kind Yν(z) and, in the other hand, the spherical modified Bessel functions, in(z) and kn(z).Keywords: Bessel functionsmodified Bessel functionsinversion formulaespherical modified Bessel functionsMathematics Subject Classification: 33C10 AcknowledgementsThe author wish to thank the wise comments of the reviewer in order to set and clarify the results given in this paper.
Publication Year: 2014
Publication Date: 2014-09-09
Language: en
Type: article
Indexed In: ['crossref']
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