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Re: Simplifying Bessel functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg107276] Re: [mg107240] Simplifying Bessel functions
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Sun, 7 Feb 2010 06:15:30 -0500 (EST)
  • Reply-to: hanlonr at cox.net

Does not look hopeful

Table[
  (BesselJ[2, BesselJZero[0, n]] BesselJZero[0, n]^2)/
    BesselJ[1, BesselJZero[0, n]] -
   2 BesselJZero[0, n]^2, {n, 5}] // N

{-6.75672,-49.9024,-132.467,-254.497,-416.003}


Bob Hanlon

---- Sam Takoy <samtakoy at yahoo.com> wrote: 

=============
Hi,

Mathematica does not seem to simplify the following expression:

(BesselJ[2, BesselJZero[0, n]] BesselJZero[0, n]^2)/ BesselJ[1,
  BesselJZero[0, n]]

(I believe the answer is 2 BesselJZero[0, n]^2)

Is there a way of making Mathematica deal with these types of expressions?

Many thanks in advance,

Sam




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