In this section we provide links to the research literature describing the implementation of algorithms in software for the evaluation of functions described in this chapter. Citations in the bulleted list refer to papers for which research software has been made available and can be downloaded via the Web. References to research software that is available in other ways is listed separately.

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  Demmel and Koev (2006). Computation of zonal polynomials in MATLAB.

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  Koev and Edelman (2006). Computation of hypergeometric functions of matrix argument in MATLAB.

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  Stembridge (1995). Maple software for zonal polynomials.

For an algorithm to evaluate zonal polynomials, and an implementation of the algorithm in Maple by Zeilberger, see Lapointe and Vinet (1996).