• Title of article

    Rational interpolation to solutions of Riccati difference equations on elliptic lattices

  • Author/Authors

    Magnus، نويسنده , , Alphonse P.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2009
  • Pages
    9
  • From page
    793
  • To page
    801
  • Abstract
    It is shown how to define difference equations on particular lattices { x n } , n ∈ Z , where the x n s are values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special difference equations (elliptic Riccati equations) have remarkable simple (!) interpolatory continued fraction expansions.
  • Keywords
    Elliptic difference equations , Riccati difference equations , orthogonal functions , Rational approximation
  • Journal title
    Journal of Computational and Applied Mathematics
  • Serial Year
    2009
  • Journal title
    Journal of Computational and Applied Mathematics
  • Record number

    1555381