Wednesday, December 19, 2012

1212.4299 (D. Babusci et al.)

The Humbert-Bessel functions, Stirling numbers and probability
distributions in coincidence problems

D. Babusci, G. Dattoli, E. Di Palma, E. N. Petropoulou
The Humbert-Bessel are multi-index functions with various applications in electromagnetism. New families of functions sharing some similarities with Bessel functions are often introduced in the mathematical literature, but at a closer analysis they are not new, in the strict sense of the word, and are shown to be expressible in terms of already discussed forms. This is indeed the case of the re-modified Bessel functions, whose properties have been analyzed within the context of coincidence problems in probability theory. In this paper we show that these functions are particular cases of the Humbert-Bessel ones.
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