I have the following integral \begin{equation} \int_{-\infty}^{+\infty} {_1 F_1}(a;b;cx^2)e^{i k x} dx \end{equation} basically, this is just a Fourier transform. I tried looking this up in some table of integrals and some table of Fourier transforms but I couldn't find anything.
How do I evaluate this?
Thanks in advance