
> 
> **Possible Duplicate:**  
> 
> [Derivate Bessel Function with respect to order](https://mathoverflow.net/questions/4019/derivate-bessel-function-with-respect-to-order) 
> 
> 
> 


Dear colleagues, 
I have a question about the modified Bessel function of the second kind, $I\_\nu(x)$ and $K\_\nu(x)$. I want to know if there is any result on the derivatives with respect to the parameter $\nu$ of $I\_\nu(x)$ and $K\_\nu(x)$. That is I want to know where I can find some reference about $\partial\_\nu I\_\nu (x)$ and $\partial\_\nu K\_\nu (x)$.


Thank you in advance!



Results on derivatives with respect to the parameter of Modified Bessel Function
See, for example, [here](http://dlmf.nist.gov/10.38). As noted in this link, further details can be found in [this paper](http://www.informaworld.com/smpp/content~db=all?content=10.1080/10652460410001727572).


