A difference-integral representation of Koornwinder polynomials

A difference-integral representation of Koornwinder polynomials
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Koornwinder 多项式的差分积分表示

DOI:
10.1090/conm/417/07929
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发表时间:
2004
期刊:
arXiv: Classical Analysis and ODEs
影响因子:
--
通讯作者:
E. Rains
E. Rains
中科院分区:
--
文献类型:
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作者:
E. Rains

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构造了新的(q-)差分算子和(轮廓)积分算子族
We construct new families of (q-) difference and (contour) integral operators having nice actions on Koornwinder's multivariate orthogonal polynomials. We further show that the Koornwinder polynomials can be constructed by suitable sequences of these operators applied to the constant polynomial 1, giving the difference-integral representation of the title. Macdonald's conjectures (as proved by van Diejen and Sahi) for the principal specialization and norm follow immediately, as does a Cauchy-type identity of Mimachi.
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DOI: --
发表时间: 2009
期刊:
影响因子: --
作者:
K. Iohara;Y. Koga;Yoshiyuki Koga;Atsushi Ichino;Atsushi Ichino;Kazuo Matsuno;Kazuo Matsuno;M. Kawazoe and T. Takahashi;Takeshi Suzuki;Takeshi Suzuki;鈴木武史
通讯作者: 鈴木武史