Originally Posted by

**homemadebread** . Any other suggestion?

Thanks in advance.

My best regards, Home-made-bread

Yeah, numerically. Ok, suppose I wanted to know what the Laplace Transform of that was at then I'd do the following in Mathematia:

Code:

In[3]:= n = 2;
m = 3;
a = 1;
b = 1/2;
s = 2;
NIntegrate[
BesselI[n, a t] BesselJ[m, b Sqrt[t]] Exp[-s t],
{t, 0, \[Infinity]}]
Out[8]= 0.000288939

Bingo. Then I claim:

and if I needed to, I could do this for any values of the parameters and as long as the integration is well-behaved, I could obtain the value of the transform pretty accurately and if necessary, run a fit on the data points to obtain a least-square fit function even if were complex.