- Rosengren, Hjalmar, 1972-
Schur Q-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux
Ingår i: Journal of Combinatorial Theory A. ; 115:3, s. 376-406
- 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.