Self-dual Koornwinder-Macdonald polynomials
Copyright policy )Self-dual Koornwinder-Macdonald polynomials
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.
21 pages, AMSLaTeX 1.1 with amssymb
- University of Tokyo Japan
Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Mathematics - Classical Analysis and ODEs, Koornwinder-Macdonald multivariable Askey-Wilson polynomials, Mathematics - Quantum Algebra, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Quantum Algebra (math.QA), Connections of hypergeometric functions with groups and algebras, and related topics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics
Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Mathematics - Classical Analysis and ODEs, Koornwinder-Macdonald multivariable Askey-Wilson polynomials, Mathematics - Quantum Algebra, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Quantum Algebra (math.QA), Connections of hypergeometric functions with groups and algebras, and related topics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics
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