Journal of Applied Mathematics
Volume 2003 (2003), Issue 11, Pages 569-573
On a zonal polynomial integral
1Department of Mathematics and Statistics, Bowling Green State University, Bowling Green 43403-0221, OH, USA
2Department of Mathematics and Computer Science, Saint Mary's University, Halefax B3H 3C3, Nova Scotia, Canada
Received 2 September 2002; Revised 9 July 2003
Copyright © 2003 A. K. Gupta and D. G. Kabe. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A certain multiple integral occurring in the studies of
Beherens-Fisher multivariate problem has been evaluated by Mathai
et al. (1995) in terms of invariant polynomials. However, this
paper explicitly evaluates the context integral in terms of zonal
polynomials, thus establishing a relationship between zonal
polynomial integrals and invariant polynomial integrals.