Results 111 to 120 of about 18,484 (234)
$q$-Selberg integrals and Macdonald polynomials [PDF]
Annales scientifiques de l'École normale supérieure, 1996 Summary: We consider a Jackson integral with special integrand (\(q\)-Selberg integral) and give an explicit formula for a system of \(q\)-difference equations satisfied by it. We also define a kind of hypergeometric function having series expansions in terms of Macdonald polynomials and show that this function satisfies a \(q\)-difference equation ...
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Chalykh's Baker-Akhiezer functions as eigenfunctions of the integer-ray integrable systems
Nuclear Physics BMacdonald symmetric polynomial at t=q−m reduces to a sum of much simpler complementary non-symmetric polynomials, which satisfy a simple system of the first order linear difference equations with constant coefficients, much simpler than those induced by ...
A. Mironov, A. Morozov, A. Popolitov
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3d field theory, plane partitions and triple Macdonald polynomials
Journal of High Energy Physics, 2019 We argue that MacMahon representation of Ding-Iohara-Miki (DIM) algebra spanned by plane partitions is closely related to the Hilbert space of a 3d field theory.
Yegor Zenkevich
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Combinatorial formula for Macdonald polynomials, Bethe Ansatz, and generic Macdonald polynomials
, 2000 We give a direct proof of the combinatorial formula for interpolation Macdonald polynomials by introducing certain polynomials, which we call generic Macdonald polynomials, which depend on $d$ additional parameters and specialize to all Macdonald polynomials of degree $d$.
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Lusztig Varieties and Macdonald Polynomials
Algebras and Representation TheoryAbstractThis paper uses Lusztig varieties to give central elements of the Iwahori-Hecke algebra corresponding to unipotent conjugacy classes in the finite Chevalley group $$GL_n(\mathbb {F}_q)$$ G L n (
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A new derivation of the inner product formula for the Macdonald symmetric polynomials [PDF]
, 1996 Katsuhisa Mimachi
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A reproducing kernel for nonsymmetric Macdonald polynomials [PDF]
, 1998 Katsuhisa Mimachi, Masatoshi Noumi
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An (inverse) Pieri formula for Macdonald polynomials of type C [PDF]
, 2010 Michel Lassalle
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Long-Term Change in Bone Mineral Density in Women Living With HIV: A 10-Year Prospective Controlled Cohort Study. [PDF]
JBMR Plus, 2023 Macdonald HM +7 more
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