Convergence and asymptotic behavior of Jackson integrals associated with irreducible reduced root systems
Convergence and asymptotic behavior of Jackson integrals associated with irreducible reduced root systems
复制标题
DOI：
10.1016/j.jat.2003.08.006
复制
发表时间：
2003-10
期刊：
影响因子：
--
通讯作者：
Masahiko Ito
中科院分区：
文献类型：
--
作者：
Masahiko Ito
对于一个称为杰克逊积分的多元q-级数，给出了它关于参数收敛的一个充分条件。它的渐近行为作为其参数的函数进行了研究。为了应用，在附录中给出了Gustafson研究的G2型求和公式的另一种证明.
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.