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Re: Converting MeijerG to Special Function like ln(x+1) in Mathematica?
Posted:
Aug 24, 2013 4:14 AM


You could try FunctionExpand, possibly with optional 2nd argument putting assumptions on x. However, your purported result in the first example has a syntax error  unbalanced parentheses  which I'm going to assume should actually be:
(1/2 Sqrt[Pi]) x^3 Exp[x/2] (BesselK[0, x/2] + BesselK[1, x/2])
And I don't think that's the same thing as your
MeijerG[{{}, {5/2}}, {{2, 3}, {}}, x]
(which is correct Mathematica syntax for a MeijerG that, if I understand what you wrote, is what you want). In fact, plotting the two functions reveals the difference.
On Aug 23, 2013, at 5:30 AM, amzoti <amzoti@gmail.com> wrote:
> 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_Gfunction > > 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?
 Murray Eisenberg murray@math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower University of Massachusetts 710 North Pleasant Street Amherst, MA 010039305



