- #1
ulriksvensson
- 20
- 0
Hi all. I need an integral representation of z^{-\nu}K_{\nu} of a particular form. For K_{1/2} it looks like this:
z^{-\frac{1}{4}}K_{1/2}(\sqrt{z}) \propto \int_{0}^{\infty}dt\exp^{-zt-1/t}t^{-1/2}
How do I generalize this for arbitrary \nu? A hint is enough, maybe there's a generating function one can use?
//Ulrik
z^{-\frac{1}{4}}K_{1/2}(\sqrt{z}) \propto \int_{0}^{\infty}dt\exp^{-zt-1/t}t^{-1/2}
How do I generalize this for arbitrary \nu? A hint is enough, maybe there's a generating function one can use?
//Ulrik