In Response To 'Re: Re: Re: Bessel integral - Strange Hypergeom...'
Yes indeed "//fullform" makes clear now that the derivative is involved. The 0F1 function has 2 arguments in the general case "b" and "z". In my case b=1 and z=-(k0*r/2)^2 therefore the first argument is a numerical value: "1".
If I give e.g. this input:
f[x_, y_]:= x^2*y^2 (or whatever)
and then of course
D[f[1, y], x]=0
I recall furthermore that
As it can be easily checked using "FullSimplify"
Still problematic ! Maybe Mathematica 9 could help ;)
PS: "Regularized" means that one has to divide by the gamma function \Gamma[b]=\Gamma=1