I cannot find in the literature the following:
$$\int_0^{\infty}\,Q_1(a,bx)\,\cos(\omega x)\,\,dx$$
and
$$\int_0^{\infty}\,Q_1(a,bx)\,\sin(\omega x)\,\,dx$$
with $a,\omega>0$.
$Q_1(a,x)$ is the Marcum Q function of order 1.
Does anybody have any idea? Thanks!
