Schlomilch and Bell Series for Bessel's Functions, with Probabilistic Applications

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dc.creatorOstrovsky, E.
dc.creatorSirota, L.
dc.date2008-04-01
dc.date.accessioned2026-07-07T09:29:38Z
dc.date.available2026-07-07T09:29:38Z
dc.descriptionWe have introduced and investigated so-called Shlomilchs and Bells series for modified Bessel's functions, namely, their asymptotic and non-asymptotic properties, connection with Stirling's and Bell's numbers etc. We have obtained exact constants in the moment inequalities for sums of centered independent random variables, improved their asymptotical properties, found lower and upper bounds, calculated a more exact approximation, elaborated the numerical algorithm for their calculation, studied the class of smoothing, etc.
dc.identifierhttps://arxiv.org/abs/0804.0089
dc.identifierhttp://arxiv.org/abs/0804.0089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157856
dc.subjectComplex Variables
dc.subject32A17
dc.titleSchlomilch and Bell Series for Bessel's Functions, with Probabilistic Applications
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