Journal of Applied Mathematics 
Volume 2003 (2003), Issue 11, Pages 569-573
doi:10.1155/S1110757X03209074

On a zonal polynomial integral

A. K. Gupta1 and D. G. Kabe2

 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

Abstract

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.