Some q q -beta and Mellin-Barnes integrals on compact Lie groups and Lie algebras Academic Article uri icon


  • Multidimensional generalizations of beta type integrals of Barnes, Ramanujan, Askey-Wilson, and others are evaluated. These integrals are analogues of the summation theorems for multilateral hypergeometric series associated to the simple Lie algebras of classical type and type G2. Many of these integrals can also be written as group integrals over a compact Lie group or conjugation invariant integrals over the corresponding Lie algebra. 1994 American Mathematical Society.

published proceedings

  • Transactions of the American Mathematical Society

author list (cited authors)

  • Gustafson, R. A.

citation count

  • 15

complete list of authors

  • Gustafson, Robert A

publication date

  • January 1994