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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>