BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
Copyright policy )BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
We consider 3-parametric polynomials which replace the A-series interpolation Macdonald polynomials in the BC case. For these polynomials, we prove: an integral representation, a combinatorial formula, Pieri-type rules, Cauchy identity, and we also show that they do not satisfy any rational q-difference equation. We also prove a binomial formula for the 6-parametric Koornwinder polynomials.
28 pages, AMS TeX; replaced with revised journal version, to appear in Transf. Groups
- University of Chicago United States
Mathematics - Quantum Algebra, FOS: Mathematics, interpolation Macdonald polynomials, Quantum Algebra (math.QA), \(BC_n\)-type root system, Simple, semisimple, reductive (super)algebras, Orthogonal polynomials and functions associated with root systems, binomial formula, Koornwinder polynomials
Mathematics - Quantum Algebra, FOS: Mathematics, interpolation Macdonald polynomials, Quantum Algebra (math.QA), \(BC_n\)-type root system, Simple, semisimple, reductive (super)algebras, Orthogonal polynomials and functions associated with root systems, binomial formula, Koornwinder polynomials
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