The binomial formula for nonsymmetric Macdonald polynomials
Copyright policy )The binomial formula for nonsymmetric Macdonald polynomials
Inhomogeneous analogues of symmetric and nonsymmetric Macdonald polynomials were introduced by F. Knop and the author. In the symmetric case A. Okounkov has recently proved a beautiful expansion formula which can be viewed as a multivariable generalization of the q-binomial theorem. It is becoming clear that many interesting results in the symmetric setting can also be established in the nonsymmetric setting. In this paper, we prove the nonsymmetric analogue the binomial formula, and also discuss the limiting case of Jack polynomials.
12 pages, TeX
- Rutgers, The State University of New Jersey United States
33C50, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Mathematics - Quantum Algebra, 33C80, FOS: Mathematics, Quantum Algebra (math.QA), Macdonald polynomials, Connections of hypergeometric functions with groups and algebras, and related topics
33C50, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Mathematics - Quantum Algebra, 33C80, FOS: Mathematics, Quantum Algebra (math.QA), Macdonald polynomials, Connections of hypergeometric functions with groups and algebras, and related topics
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