Simplify by Recurrence Relations
- To: mathgroup at smc.vnet.net
- Subject: [mg75753] Simplify by Recurrence Relations
- From: Mr Ajit Sen <senra99 at yahoo.co.uk>
- Date: Wed, 9 May 2007 04:49:00 -0400 (EDT)
Could someone please show me how to simplify a
function by using its recurrence relations.
As a simple example, let's take the Bessel
BesselJ[n+1,z]= 2n/z BesselJ[n,z]-BesselJ[n-1,z].
How do I get Mathematica (5.2 !) to evaluate
as (1-4/x^2)BesselJ[1,x]+ 2/x BesselJ[0,x]
instead of (BesselJ[1,x]-BesselJ[3,x])/2 ?
[Basically, reduce the order to 0 &/or 1, so that
J0 and J1 can be factored out later.]
Thanking you in advance.
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