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Some New Transformation Properties of the Nielsen Generalized Polylogarithm

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  • Nina Shang
  • Qinghua Feng
  • Huizeng Qin

Abstract

Many of the properties of Nielsen generalized polylogarithm , for example, the special value and the transformation formulas, play important roles in the computation of higher order radiative corrections in quantum electrodynamics. In this paper, some transformation formulas of , and are obtained. In particular, the last three transformation formulas are new results so far in the literature. By use of these transformation formulas presented, new fast algorithms for Nielsen generalized polylogarithm can be designed. For , a new recurrence formula is also given. The identities and the calculation of and are also investigated.

Suggested Citation

  • Nina Shang & Qinghua Feng & Huizeng Qin, 2014. "Some New Transformation Properties of the Nielsen Generalized Polylogarithm," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-10, June.
    • Handle: RePEc:hin:jijmms:210890
    DOI: 10.1155/2014/210890
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