Multidimensional Fractional Calculus Operators Involving the Gauss Hypergeometric Function

نویسندگان

  • Vu Kim Tuan
  • R. K. Raina
  • Megumi Saigo
چکیده

This paper deals with some multidimensional integral operators involving the Gauss hypergeometric function in the kernel and generating the multidimensional modified fractional calculus operators introduced in [8]. Some mapping properties, weighted inequalities, a formula of integration by parts and index laws are obtained.

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تاریخ انتشار 2005