[Abstract] Frank Garvan; A beta integral aassociated with the root system $G_2$, SIAM J. Math. Anal., 19 (1988), 1462-1474.


Abstract: Some conjectures of Askey are proven that have to do with adding roots in the Macdonald-Morris conjecture for G_2. This is done by extending Aomoto's proof of Selberg's integral. This yields a new proof of the Macdonald-Morris root system conjecture for G_2 which should extend to other root systems.