Approximations for the WhittakerW functions

[PrasadP]

Fellow researchers out there,

I am not a mathematician. However, I have come across in solving few cumbersome integrals involving the whittakerW function in my research. If anyone has come across a technique which gives a simple approximations for the WhittakerW function please respond.

The specific Whittaker function I am looking at is the following,

W_{-1/2,0}(z) ,

For the problem I am looking at generally, z< 1 . The approximation need to fit well for the z values close to 0.

Thanks
Prasad

 

[jasonRF]

Wolfram alpha gives:
http://www.wolframalpha.com/input/?i=whittakerW(-1/2,0;+z)

which looks useful. Good luck.

jason

 

[PrasadP]

Thanks jason. I ll try to take forward the calculation with it!