• Title of article

    Advanced techniques for computing divergent series

  • Author/Authors

    Skorokhodov، نويسنده , , S.L.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    3
  • From page
    636
  • To page
    638
  • Abstract
    The problem of analytic continuation to the generalized hypergeometric functions pFp−1(z) for complex |z|⩾1 is considered. Three methods are elaborated if z is not close to the singular point z=1: optimal conformal mappings, re-expansions, and diagonal Padé-approximations. The accuracy of evaluations was 10–50 correct decimal figures.
  • Keywords
    Pade-approximations , Difference equation , conformal mapping , Divergent series , Re-expansion
  • Journal title
    Nuclear Instruments and Methods in Physics Research Section A
  • Serial Year
    2003
  • Journal title
    Nuclear Instruments and Methods in Physics Research Section A
  • Record number

    2198728