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math.QA2001
A remark on Fourier pairing and binomial formula for Macdonald polynomials
Andrei Okounkov
We give a concise direct proof of the orthogonality of interpolation Macdonald polynomials with respect to the Fourier pairing and briefly discuss some immediate applications of th…
math.QA2000
Combinatorial formula for Macdonald polynomials, Bethe Ansatz, and generic Macdonald polynomials
Andrei Okounkov
We give a direct proof of the combinatorial formula for interpolation Macdonald polynomials by introducing certain polynomials, which we call generic Macdonald polynomials, which d…