Combinatorial interpretations of the Jacobi-Stirling numbers

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dc.creatorGelineau, Yoann
dc.creatorZeng, Jiang
dc.date2009-05-18
dc.date2009-05-20
dc.date.accessioned2026-07-07T13:16:24Z
dc.date.available2026-07-07T13:16:24Z
dc.descriptionThe Jacobi-Stirling numbers of the first and second kinds were introduced in 2006 in the spectral theory and are polynomial refinements of the Legendre-Stirling numbers. Andrews and Littlejohn have recently given a combinatorial interpretation for the second kind of the latter numbers. Noticing that these numbers are very similar to the classical central factorial numbers, we give combinatorial interpretations for the Jacobi-Stirling numbers of both kinds, which provide a unified treatment of the combinatorial theories for the two previous sequences and also for the Stirling numbers of both kinds.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0905.2899
dc.identifierhttp://arxiv.org/abs/0905.2899
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230776
dc.subjectCombinatorics
dc.subjectClassical Analysis and ODEs
dc.subject05A05, 05A15, 33C45 (Primary); 05A10, 05A18, 34B24 (Secondary)
dc.titleCombinatorial interpretations of the Jacobi-Stirling numbers
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