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
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
Journal title :
Nonlinear Analysis Theory, Methods & Applications