• Title of article

    The double gamma function and related Pick functions

  • Author/Authors

    L. Pedersen، نويسنده , , Henrik، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    9
  • From page
    361
  • To page
    369
  • Abstract
    Denoting by G the Barnes double gamma function we find the Stieltjes representation of the related Pick functionz↦log G(z+1)z2 Log z.As a corollary we obtain that this function has a completely monotone derivative on the positive half line.
  • Keywords
    double gamma function , Pick function , Integral representation
  • Journal title
    Journal of Computational and Applied Mathematics
  • Serial Year
    2003
  • Journal title
    Journal of Computational and Applied Mathematics
  • Record number

    1552113