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:
(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 <firstname.lastname@example.org> 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_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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