Schur Q-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux
نویسنده
چکیده
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 q-ultraspherical polynomials. As special cases, we obtain simple closed formulas for staircase-type partitions.
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 115 شماره
صفحات -
تاریخ انتشار 2008