Self-dual Koornwinder-Macdonald polynomials

Details Self-dual Koornwinder-Macdonald polynomials Self-dual Koornwinder-Macdonald polynomials

1995-07-28

arxiv.org/abs/q-alg/9507033v2

Invent. Math. 126 (1996), 319--339

Mathematics

Classical Analysis and ODEs

21 pages, AMSLaTeX 1.1 with amssymb

Scientific paper

10.1007/s002220050102

We prove certain duality properties and present recurrence relations for a
four-parameter family of self-dual Koornwinder-Macdonald polynomials. The
recurrence relations are used to verify Macdonald's normalization conjectures
for these polynomials.

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