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A positivity conjecture on the structure constants of shifted Jack functions (1912.05203v1)
Published 11 Dec 2019 in math.CO
Abstract: We consider Jack polynomials $J_\lambda$ and their shifted analogue $J#_\lambda$. In 1989, Stanley conjectured that $\langle J_\mu J_\nu, J_\lambda \rangle$ is a polynomial with nonnegative coefficients in the parameter $\alpha$. In this note, we extend this conjecture to the case of shifted Jack polynomials.
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