Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals

Abstract

We provide algorithms for symbolic integration of hyperlogarithms multiplied by rational functions, which also include multiple polylogarithms when their arguments are rational functions. These algorithms are implemented in Maple and we discuss various applications. In particular, many Feynman integrals can be computed by this method.

Comments: The described Maple program is supplied in the ancillary files to this submission and can also be obtained from http://www.math.hu-berlin.de/~panzer/