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I have an operator, How do I DSolve it?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg96159] I have an operator, How do I DSolve it?
  • From: Aaron Fude <aaronfude at gmail.com>
  • Date: Sat, 7 Feb 2009 03:38:17 -0500 (EST)

Hi,

I have defined a differential operator, but what's the syntax for
using it in DSolve?

I have the Bessel operator

B[m_, f_] := (D[f[#], {#, 2}] +
    1/# D[f[#], {#, 1}] + (1 - m^2/#^2) f[#]) &

It's the Bessel operator for now, but I will soon replace it with a
different one. This is for testing puposes only.

Now, how do I use it in DSolve?

So far I use

DSolve[S''[r] + 1/r S'[r] + (1 - m^2/r^2) S[r] == 0, S[r], r]

but that's not a good solution because I have to different expressions
for the same thing. I want to used B only.

Many thanks in advance,

Aaron


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