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October, 1968 Calculation of Zonal Polynomial Coefficients by Use of the Laplace-Beltrami Operator
A. T. James
Ann. Math. Statist. 39(5): 1711-1718 (October, 1968). DOI: 10.1214/aoms/1177698153

Abstract

The zonal polynomials of the positive definite real symmetric matrices, which appear in the expansions of the functions occurring in many multivariate non null distributions and moment formulae are eigenfunctions of the Laplace Beltrami operator. The resulting differential equation gives a recurrence relation between the coefficients from which they can be calculated.

Citation

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A. T. James. "Calculation of Zonal Polynomial Coefficients by Use of the Laplace-Beltrami Operator." Ann. Math. Statist. 39 (5) 1711 - 1718, October, 1968. https://doi.org/10.1214/aoms/1177698153

Information

Published: October, 1968
First available in Project Euclid: 27 April 2007

zbMATH: 0177.47406
MathSciNet: MR231486
Digital Object Identifier: 10.1214/aoms/1177698153

Rights: Copyright © 1968 Institute of Mathematical Statistics

Vol.39 • No. 5 • October, 1968
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