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Meijer G-function at the origin

  1. Apr 17, 2012 #1
    Hi all,
    I asked Mathematica to evaluate a Meijer-G function for me, and it point blank refuses to. (See a related post in the Math and Science Software subforum...)
    I was wondering if anyone here could tell me anything about the behaviour of the function
    [tex]G^{7,0}_{0,7}\left( x\bigg | \stackrel{}{1}\stackrel{\ }{\frac{7}{6}}\stackrel{\ }{\frac{4}{3}}\stackrel{\ }{\frac{4}{3}}\stackrel{}{\frac{3}{2}} \stackrel{}{\frac{5}{3}}\stackrel{}{\frac{11}{6}} \stackrel{}{0} \stackrel{}{\frac{5}{6}} \stackrel{}{\frac{7}{6}}\stackrel{}{\frac{4}{3}} \stackrel{}{\frac{3}{2}} \stackrel{}{\frac{5}{3}} \stackrel{}{\frac{11}{6}} \right)[/tex]
    at the point [itex]x=0[/itex].
    (apologies for my inability to Latex; in the proper conventional notation, all of these numbers would be on the bottom row, with the row at the top blank, as I hope is clear from the index structure).

    I'm under the impression that this vanishes, but that's based on information I've extracted from Mathematica, which clearly isn't my friend at the moment. Does anyone know a different way in which I could check this?

    Thanks in advance.
     
  2. jcsd
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