Integral $I(a,b,c,s)=\int_s^\infty K_0(\sqrt{x^2+a})cos(b+cx)dx$

70 Views Asked by At

I need help with integral: $$I(a,b,c,s)=\int_s^\infty K_0(\sqrt{x^2+a})cos(b+cx)dx$$ where $K_0$ is the $0^{th}$ modified Bessel functions of the second kind.

Does this integral have a closed form? And if it does, can someone help me to find it?