Schur Q-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux

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dc.creatorRosengren, Hjalmar
dc.date2006-03-03
dc.date2006-10-09
dc.date.accessioned2026-07-07T09:30:53Z
dc.date.available2026-07-07T09:30:53Z
dc.descriptionWe study Schur Q-polynomials evaluated on a geometric progression, or equivalently q-enumeration of marked shifted tableaux, seeking explicit formulas that remain regular at q=1. We obtain several such expressions as multiple basic hypergeometric series, and as determinants and pfaffians of continuous q-ultraspherical or continuous q-Jacobi polynomials. As special cases, we obtain simple closed formulas for staircase-type partitions.
dc.description34 pages; Appendix added, several minor improvements of previous version
dc.identifierhttps://arxiv.org/abs/math/0603086
dc.identifierhttp://arxiv.org/abs/math/0603086
dc.identifierJ. Combin. Theory A 115 (2008), 376-406
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158267
dc.subjectCombinatorics
dc.subjectClassical Analysis and ODEs
dc.subject05E05, 05E10, 33D52
dc.titleSchur Q-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux
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