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The top-order zonal polynomials <italic>C</italic>(<italic>A</italic>), and top-order invariant polynomials <italic>C</italic><sub>null</sub><sub>,…,</sub><italic>null</italic> (<italic>A</italic><sub>1</sub>, …, <italic>A</italic>) in which each of the partitions of <italic>k</italic>, <italic>i</italic> = 1, …, <italic>r</italic>, has only one part, occur frequently in multivariate distribution theory, and econometrics — see, for example, Phillips (1980, <italic>Econometrica</italic>...
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