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文章基本信息

  • 标题:Iterated integrations of complete elliptic integrals
  • 本地全文:下载
  • 作者:E.Remiddi ; L.Tancredi
  • 期刊名称:PoS - Proceedings of Science
  • 印刷版ISSN:1824-8039
  • 出版年度:2017
  • 卷号:290
  • DOI:10.22323/1.290.0009
  • 语种:English
  • 出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
  • 摘要:We study an elliptic generalization of multiple polylogarithms that appears naturally in the computation of the imaginary part of the two-loop massive sunrise graph with equal masses. The newly introduced functions fulfill non-homogeneous second order differential equations. As an important result, we introduce a concept of weight associated to the action of the second order differential operator and show how to classify the relations between the functions bottom up in their weight.
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