We derive in detail four important results on integrals of Bessel functions from which three combinatorial identities are extracted. We present the probabilistic interpretation of these identities in terms of different types of random walks, including asymmetric ones. This work extends the results of a previous paper concerning the Darling–Siegert interpretation of similar formulas emerging from the analysis of random flights.
Some Darling-Siegert relationships connected with random flights / Cammarota, Valentina; A., Lachal; Orsingher, Enzo. - In: STATISTICS & PROBABILITY LETTERS. - ISSN 0167-7152. - 79:(2009), pp. 243-254. [10.1016/j.spl.2008.08.002]
Some Darling-Siegert relationships connected with random flights
CAMMAROTA, VALENTINAMembro del Collaboration Group
;ORSINGHER, EnzoMembro del Collaboration Group
2009
Abstract
We derive in detail four important results on integrals of Bessel functions from which three combinatorial identities are extracted. We present the probabilistic interpretation of these identities in terms of different types of random walks, including asymmetric ones. This work extends the results of a previous paper concerning the Darling–Siegert interpretation of similar formulas emerging from the analysis of random flights.| File | Dimensione | Formato | |
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