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1: 37.9 Jacobi Polynomials Associated with Root System $A_2$

… ►As such it can be identified, up to a constant factor, with a Jack polynomial $J_{m+n,n,0}((x_1,x_2,x_3);{\left(\alpha +\frac{1}{2}\right)}^{-1})$ in three variables (see Stanley (1989b, Theorem 1.1) for the definition of Jack polynomials). …