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A formula for Jack polynomials of the second order

Francisco J. Caro-Lopera; José A. Díaz-García; Graciela González-Farías — 2007

Applicationes Mathematicae

This work solves the partial differential equation for Jack polynomials $C_{κ}^{α}$ of the second order. When the parameter α of the solution takes the values 1/2, 1 and 2 we get explicit formulas for the quaternionic, complex and real zonal polynomials of the second order, respectively.

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