On computing two special cases of Gauss hypergeometric function

نویسندگان

  • Mohammad Masjed-Jamei
  • Wolfram Koepf
چکیده

In this paper, a computational technique is given to re-obtain the explicit forms of two cases of the Gauss hypergeometric function ) ; , , ( 1 2 x c b a F for 2 / 1 + = a b and 2 / 3 , 2 / 1 = c . Some special identities related to the two aforesaid cases are also introduced. Finally a special Maple package, called FormalPowerSeries (FPS), is used to automatically compute some results given in the paper.

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تاریخ انتشار 2010