Extended Bell and Stirling numbers from hypergeometric exponentiation

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dc.creatorSixdeniers, J. -M.
dc.creatorPenson, K. A.
dc.creatorSolomon, A. I.
dc.date2001-06-14
dc.date.accessioned2026-07-07T04:42:10Z
dc.date.available2026-07-07T04:42:10Z
dc.descriptionExponentiating the hypergeometric series gives a recursion relation for integer sequences which are generalizations of conventional Bell numbers. The corresponding associated Stirling numbers of the second kind are also generated and investigated. For the lowest order generalisation, one can give a combinatorial interpretation of these 'Bell' numbers, and of some Stirling numbers associated with them. We also consider these analogues of Bell numbers in the case of restricted partitions.
dc.description12 pages, Latex. Journal of Integer Sequences (in press)
dc.identifierhttps://arxiv.org/abs/math/0106123
dc.identifierhttp://arxiv.org/abs/math/0106123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61662
dc.subjectCombinatorics
dc.subject05A15
dc.titleExtended Bell and Stirling numbers from hypergeometric exponentiation
dc.typetext

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