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Calculation and Properties of Zonal Polynomials

(by Lin Jiu and Christoph Koutschan)

On this webpage we publish the Mathematica package ZonalPolynomials.m and supplementary electronic material which accompanies our article Calculation and Properties of Zonal Polynomials.

• ZonalPolynomials.m   (Mathematica package)
• ZonalPolynomialsDemo.nb   (Mathematica demo notebook)
• ZonalPolynomialsDemo.pdf   (pdf screenshot of the notebook)

As an additional package that is needed for some of these computations we refer to the HolonomicFunctions package.

Secondly, we have implemented the calculation of zonal polynomials in a Sage package.