Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals

Abstract

In this paper we prove certain algebraic identities, which correspond to differentiations 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.

References in corpus (2)

• Feynman integrals and hyperlogarithms
• Duality/Sum formulas for iterated integrals and their application to multiple zeta values

Cited by in corpus (2)

• Iterated integrals on ${\mathbb{P}}^1\setminus \{0,1,\infty ,z\}$ and a class of relations among multiple zeta values
• On generic double shuffle relations, localized multiple polylogarithms and algebraic functions