On a zonal polynomial integral
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 be...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X03209074 |
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| _version_ | 1850230668611551232 |
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| author | A. K. Gupta D. G. Kabe |
| author_facet | A. K. Gupta D. G. Kabe |
| author_sort | A. K. Gupta |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-1fca5e19bd404e5eba4e275f75e8e664 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1fca5e19bd404e5eba4e275f75e8e6642025-08-20T02:03:47ZengWileyJournal of Applied Mathematics1110-757X1687-00422003-01-0120031156957310.1155/S1110757X03209074On a zonal polynomial integralA. K. Gupta0D. G. Kabe1Department of Mathematics and Statistics, Bowling Green State University, Bowling Green 43403-0221, OH, USADepartment of Mathematics and Computer Science, Saint Mary's University, Halefax B3H 3C3, Nova Scotia, CanadaA 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.http://dx.doi.org/10.1155/S1110757X03209074 |
| spellingShingle | A. K. Gupta D. G. Kabe On a zonal polynomial integral Journal of Applied Mathematics |
| title | On a zonal polynomial integral |
| title_full | On a zonal polynomial integral |
| title_fullStr | On a zonal polynomial integral |
| title_full_unstemmed | On a zonal polynomial integral |
| title_short | On a zonal polynomial integral |
| title_sort | on a zonal polynomial integral |
| url | http://dx.doi.org/10.1155/S1110757X03209074 |
| work_keys_str_mv | AT akgupta onazonalpolynomialintegral AT dgkabe onazonalpolynomialintegral |