A difference-integral representation of Koornwinder polynomials
A difference-integral representation of Koornwinder polynomials
复制标题
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:
影响因子:
--
通讯作者:
E. Rains
中科院分区:
文献类型:
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作者:
E. Rains
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.
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