Relations for Nielsen polylogarithms

نویسندگان

  • Jonathan M. Borwein
  • Armin Straub
چکیده

Polylogarithms appear in many diverse fields of mathematics. Herein, we investigate relations amongst Nielsen polylogarithms, both generic and at special arguments including the sixth roots of unity. The relations are explicitly exhibited in the case of low weights. All of this work relies heavily on symbolic and numeric computation. For use in applications all results are implemented and accessible.

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عنوان ژورنال:
  • Journal of Approximation Theory

دوره 193  شماره 

صفحات  -

تاریخ انتشار 2015