Title of article
Schur Q-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux
Author/Authors
Rosengren، نويسنده , , Hjalmar، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
31
From page
376
To page
406
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.
Keywords
Schur Q-polynomial , Marked shifted tableaux , Pfaffian , Multiple basic hypergeometric series , Continuous q-ultraspherical polynomial , Askey–Wilson polynomial , Christoffel–Darboux kernel , Orthogonal polynomial ensemble , Discrete Selbe , Continuous q-Jacobi polynomial
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2008
Journal title
Journal of Combinatorial Theory Series A
Record number
1531281
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