Convergence and asymptotic behavior of Jackson integrals associated with irreducible reduced root systems Original Research Article

For a multivariable q-series called Jackson integral associated with irreducible reduced root systems, a sufficient condition for convergence of it with respect to parameters is given. Its asymptotic behavior as a function of its parameters is studied. For its application, we give another proof of G2-type summation formula investigated by Gustafson in an appendix.