Re: Derivate of Bessel function K

*To*: mathgroup at smc.vnet.net*Subject*: [mg63179] Re: [mg63159] Derivate of Bessel function K*From*: "Carl K. Woll" <carlw at wolfram.com>*Date*: Sat, 17 Dec 2005 03:46:12 -0500 (EST)*References*: <200512161222.HAA15801@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Walou wrote: > Hello, > > Does anybody out there know of any software to evaluate the > derivative with respect to the order nu of Bessel function K_nu(z)? > I am interested in evaluations for real valued nu and z. This > function was part of an expression generated by Mathematica as the > value of an integral, but there is no such function available in > that system. > > I would appreciate references or any information you can provide. Mathemtica can evaluate the derivatives for numerical values of nu and z. For example: In[5]:= Derivative[1,0][BesselK][1.1,2.2] Out[5]= 0.0462798 We get the derivative of BesselK[nu,z] with respect to nu evaluated at nu->1.1 and z->2.2. Carl Woll Wolfram Research

**References**:**Derivate of Bessel function K***From:*"Walou" <boubchir@greyc.ensicaen.fr>