Digital Library of Mathematical Functions
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35 Functions of Matrix ArgumentComputation

§35.11 Tables

Tables of zonal polynomials are given in James (1964) for |\kappa|\leq 6, Parkhurst and James (1974) for |\kappa|\leq 12, and Muirhead (1982, p. 238) for |\kappa|\leq 5. Each table expresses the zonal polynomials as linear combinations of monomial symmetric functions.