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Some combinatorial conjectures for shifted Jack polynomials

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Abstract

We present several combinatorial conjectures related to Jack generalized binomial coefficients, or equivalently to shifted Jack polynomials. We prove these conjectures when the degree of these polynomials is ≤5.

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Lassalle, M. Some combinatorial conjectures for shifted Jack polynomials. Annals of Combinatorics 2, 145–163 (1998). https://doi.org/10.1007/BF01608485

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