Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals
Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals
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迭代积分的混洗、填充和对偶关系的代数微分公式
DOI：
10.1016/j.jalgebra.2020.01.032
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发表时间：
2020
影响因子：
0.9
通讯作者：
Nobuo Sato
中科院分区：
文献类型：
--
作者：
Minoru Hirose;Nobuo Sato
本文证明了某些代数恒等式，这些恒等式对应于Shuffle关系、Stuffle关系和由迭代积分的Möbius变换产生的关系的微分。这些公式为研究穿孔射影直线上的迭代积分提供了基本而有用的工具。
In this paper, we prove certain algebraic identities, which correspond to differentiation of the shuffle relation, the stuffle relation, and the relations which arise from Möbius transformations of iterated integrals. These formulas provide fundamental and useful tools in the study of iterated integrals on a punctured projective line.