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- Rosengren, Hjalmar, 1972
(author)
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Schur Q-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux
- 2008
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In: Journal of Combinatorial Theory A. - : Elsevier BV. - 0097-3165 .- 1096-0899. ; 115:3, s. 376-406
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Journal article (peer-reviewed)abstract
- We 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.
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