Let $M_{\kappa,\mu}(z)$ be the Whittaker function, as defined here http://en.wikipedia.org/wiki/Whittaker_function.

Does any one know the evaluation of the following integral?

$$\int_{-\infty}^\infty \left|M_{i\alpha, \beta}\Big(\frac{i}{x}\Big)\right|^2dx,$$ where $\alpha \in \mathbb{R}$ and $\beta > 0.$

Any suggestion is welcome.

PS: I know in a Russian book: Integrals and series volume 3, there is a chapter on the integral of products of Whittaker functions, however, I can not find the book in the library of my university.