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Converting MeijerG to Special Function like ln(x+1) in Mathematica?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg131541] Converting MeijerG to Special Function like ln(x+1) in Mathematica?
  • From: amzoti <amzoti at gmail.com>
  • Date: Fri, 23 Aug 2013 05:30:13 -0400 (EDT)
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Does Mathematica have a similar function to this?

convert(MeijerG([[],[5/2]],[[2,3],[]],x),StandardFunctions);

which results in: (1/(2 Sqrt[Pi]) x^3 Exp[-x/2] (BesselK[0,x/2]+BesselK[1,x/2]).

or

convert(ln(1+x),MeijerG,include=elementary);

You can see what the result would be here: http://en.wikipedia.org/wiki/Meijer_G-function

I found this nice list of special functions on the Mathematica web site (http://functions.wolfram.com/HypergeometricFunctions/MeijerG/03/01/03/23/) and can look it up, but would rather be able to go in each direction by typing a command. 

Is there a way to do this in Mathematica?



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