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Re: Simplify by Recurrence Relations

• To: mathgroup at smc.vnet.net
• Subject: [mg75792] Re: Simplify by Recurrence Relations
• From: psycho_dad <s.nesseris at gmail.com>
• Date: Thu, 10 May 2007 05:25:15 -0400 (EDT)
• References: <f1s3n1$h2g$1@smc.vnet.net>

Hi,
I think this should do the trick:

In[1]:=
db=D[BesselJ[2,x],x];

In[2]:=
db//.BesselJ[n_,x_] -> (2(n-1)/x BesselJ[n-1,x]-BesselJ[n-2,x])//
Expand

It could be done in other ways as well, but this is what I came up
during my coffeebreak.

Cheers,
psycho_dad