An elliptic generalization of multiple polylogarithms

@article{Remiddi2017AnEG,
  title={An elliptic generalization of multiple polylogarithms},
  author={Ettore Remiddi and Lorenzo Tancredi},
  journal={Nuclear Physics},
  year={2017},
  volume={925},
  pages={212-251}
}
Abstract We introduce a class of functions which constitutes an obvious elliptic generalization of multiple polylogarithms. A subset of these functions appears naturally in the ϵ -expansion of the imaginary part of the two-loop massive sunrise graph. Building upon the well known properties of multiple polylogarithms, we associate a concept of weight to these functions and show that this weight can be lowered by the action of a suitable differential operator. We then show how properties and… Expand
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