论文标题
Feynman积分的计算机代数和高几何结构
Computer Algebra and Hypergeometric Structures for Feynman Integrals
论文作者
论文摘要
我们提出了最近的计算机代数方法，该方法支持（多元）系列解决方案的计算（部分耦合系统）线性微分方程。该系列解决方案的汇总可以通过高几何产物建造，更普遍地是由在此类产品上定义的无限嵌套总和来构建的。特殊情况是在处理参数Feynman积分时经常出现的诸如上诉功能或概括之类的高几何结构。
We present recent computer algebra methods that support the calculations of (multivariate) series solutions for (certain coupled systems of partial) linear differential equations. The summand of the series solutions may be built by hypergeometric products and more generally by indefinite nested sums defined over such products. Special cases are hypergeometric structures such as Appell-functions or generalizations of them that arise frequently when dealing with parameter Feynman integrals.
