A GENERALIZATION OF SELBERG BETA-INTEGRAL Academic Article uri icon

abstract

  • We evaluate several infinite families of multidimensional integrals which are generalizations or analogs of Eulers classical beta integral. We first evaluate a q-analog of Selbergs beta integral. This integral is then used to prove the Macdonald-Morris conjectures for the affine root systems of types S(Cl) and S(Cl)Vand to give a new proof of these conjectures for S(BCl), S(Bl), S(Bl)Vand S(Dl). 1990 American Mathematical Society.

published proceedings

  • BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

author list (cited authors)

  • GUSTAFSON, R. A.

citation count

  • 51

publication date

  • January 1990