On a zonal polynomial integral

[摘要] A certain multiple integral occurring in the studies ofBeherens-Fisher multivariate problem has been evaluated by Mathaiet al. (1995) in terms of invariant polynomials.However, thispaper explicitly evaluates the context integral in terms of zonalpolynomials, thus establishing a relationship between zonalpolynomial integrals and invariant polynomial integrals.

[学科分类] 应用数学