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math.QA2004★ 5 cited
Coincident root loci and Jack and Macdonald polynomials for special values of the parameters
M. Kasatani, T. Miwa, A. N. Sergeev +1
We consider the coincident root loci consisting of the polynomials with at least two double roots andpresent a linear basis of the corresponding ideal in the algebra of symmetric p…
math.QA2003★ 2 cited
Zeros of Symmetric Laurent Polynomials of Type and Koornwinder-Macdonald Polynomials Specialized at
Masahiro Kasatani
A characterization of the space of symmetric Laurent polynomials of type which vanish on a certain set of submanifolds is given by using the Koornwinder-Macdonald polynomi…