HASHIGUCHI Hiroki
,
NIKI Naoto

… The coefficients of zonal polynomials are given by James (1964) up to degree 6 in terms of power sums and elementary symmetric functions, and by Tumura (1965) up to degree 6 in terms of monomial symmetric functions. … Sugiyama (1979) has obtained zonal polynomials up to degree 200 in the case of order 2, expressed by a liner combination of monomial symmetric functions. …

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