Advanced Search

Question: Will Maple evaluate this integral

Question:Will Maple evaluate this integral

Ian Jones 101 Maple
integral mathematica hankel
November 04 2017
1

Hello. 

I would like to know if Maple can or cannot evaluate the integral below. It can be done analytically and also in Mathematica. It is not an uncommon type of integral being related to a Fourier transform of a Hankel function.

restart;
assume(alpha>0);assume(beta>0);assume(s>0);
gr:=(beta,r)->(1/8*I)*(-HankelH1(1, beta*r)-(2*I)*BesselK(1, beta*r)/Pi)/beta^2;
int(cos(alpha*s)*gr(beta,s),s=0..infinity);

Many thanks

 
Please Wait...