• Title of article

    Summing one- and two-dimensional series related to the Euler series

  • Author/Authors

    Ogreid، نويسنده , , Odd Magne and Osland، نويسنده , , Per، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1998
  • Pages
    27
  • From page
    245
  • To page
    271
  • Abstract
    We present results for some infinite series appearing in Feynman diagram calculations, many of which are similar to the Euler series. These include both one-dimensional and two-dimensional series. Most of these series can be expressed in terms of ζ(2), ζ(3), the Catalan constant G and Cl2(π3) where Cl2(θ) is Clausenʹs function.
  • Keywords
    Clausenיs function , Riemann zeta function , Hypergeometric series , Polylogarithms , Psi function , Euler series
  • Journal title
    Journal of Computational and Applied Mathematics
  • Serial Year
    1998
  • Journal title
    Journal of Computational and Applied Mathematics
  • Record number

    1549337