黎曼球面上的规范Fuchsian型与多圈积分微分方程
Normalized Fuchsian form on Riemann sphere and differential equations for multiloop integrals
摘要：
我们考虑微分系统在黎曼球面上化为正规化Fuchsian形式的问题。$ε$形式的多环积分的微分方程构成了规范化Fuchsian形式的一个特殊例子。给出了约简的算法准则。我们还考虑了适当选择变量的微分系统适合其减少到$ε$ -形式的问题。
英文摘要：
We consider the question of reducibility of the differential system to normalized Fuchsian form on the Riemann sphere. The differential equations for the multiloop integrals in $ε$-form constitute a particular example of the normalized Fuchsian form. We formulate the algorithmic criterion of reducibility. We also consider the question of the proper choice of variable in the differential system suitable for its reduction to $ε$-form.
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