SOME Q-BETA INTEGRALS ON SU(N) AND SP(N) THAT GENERALIZE THE ASKEY-WILSON AND NASRALLAH-RAHMAN INTEGRALS

Authors
GUSTAFSON RA
Citation
Ra. Gustafson, SOME Q-BETA INTEGRALS ON SU(N) AND SP(N) THAT GENERALIZE THE ASKEY-WILSON AND NASRALLAH-RAHMAN INTEGRALS, SIAM journal on mathematical analysis, 25(2), 1994, pp. 441-449
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
25
Issue
2
Year of publication
1994
Pages
441 - 449
Database
ISI
SICI code
0036-1410(1994)25:2<441:SQIOSA>2.0.ZU;2-Y
Abstract
SU(n) and Sp(n) generalizations of a q-beta integral of Nasrallah-Rahm an are evaluated. Selberg's beta integral can be deduced as a special limiting case of the Sp(n) integral. Extensions of the q-Macdonald-Mor ris constant term identities for the affine root systems of types S(BC (n)), S(B(n)), S(B(n))upsilon, S(C(n)), SC(C(n))upsilon, and S(D(n)) c an also be obtained from the Sp(n) integral. There are some additional integral evaluations for Sp(2) and Sp(3).