Reductibility and irreducibility of the Gauss-Manin system associated with a Selberg type integral
Reductibility and irreducibility of the Gauss-Manin system associated with a Selberg type integral
复制标题
与 Selberg 型积分相关的高斯-马宁系统的可约性和不可约性
DOI：
10.1017/s0027763000004633
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发表时间：
1993
影响因子：
0.8
通讯作者：
K. Mimachi
中科院分区：
文献类型：
--
作者：
K. Mimachi
考虑变量为Z1…的函数，zm其中υ和λj(j=1，…M)是复数，并且.Г是适当选择的整数域。在m=2的情况下，设[Z1，Z2]n为Г，则为Selberg积分[22]。我们的函数可以看作是它的推广，因此我们可以称(0.1)为Selberg型积分。众所周知，(0.1)满足Gauss-Manin系统，即有理完整微分方程组[3]、[21]。
Consider the function with variables z1…,zm where υ and λj (j = 1,…,m) are complex numbers and.Г is a suitably chosen integral domain. In case m = 2, if we set [z1 z2]n as Г, it is the Selberg integral [22]. Our function can be regarded as an extention of it; so we may call (0.1) a Selberg type integral It is known that (0.1) satisfies a Gauss-Manin system, i.e. a system of rationally holonomic differential equations [3], [21].