• Title of article

    Kummerʹs twenty-four functions and n-fractional calculus Original Research Article

  • Author/Authors

    Katsuyuki Nishimoto، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1997
  • Pages
    12
  • From page
    1271
  • To page
    1282
  • Abstract
    Many papers and books on the fractional calculus have been reported by the author already ( see the references). There are Kummerʹs twenty-four functions which are the solutions to the homogeneous Gauss equation. In this paper, it is shown that the solutions of Gauss equation obtained by our N-factional calculus operator Nν method cover the Kummerʹs Iwenty-four functions.
  • Keywords
    Fractional calculus , Kummerיs Twenty-Four Functions , Gauss hypergeometric function , Gauss Equation , Ordinary differential equation
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Serial Year
    1997
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Record number

    856023