Re: DSolve, it should be beautiful...
- To: mathgroup at smc.vnet.net
- Subject: [mg23286] Re: DSolve, it should be beautiful...
- From: Hendrik van Hees <h.vanhees at gsi.de>
- Date: Sun, 30 Apr 2000 21:13:36 -0400 (EDT)
- Organization: GSI Darmstadt
- References: <8eg7s6$hgc@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Nicola Attico wrote:
>
> It seems to me that Mathematica DSolve is not able
> to find the solution of the very standard Legendre equation...
>
> DSolve[(1-z^2) f''[z]-2 z f'[z]+(a(a+1)-(m^2/(1-z^2)))f[z]==0,f[z],z]
>
I copied this expression to my Mathematica and got out
Out[2]//TextForm=
{{f[z] ->
C[1] LegendreP[
2
-1 + Sqrt[1 + 4 (a + a )] 2
-------------------------, Sqrt[m ],
2
z] + C[2] LegendreQ[
2
-1 + Sqrt[1 + 4 (a + a )] 2
-------------------------, Sqrt[m ],
2
z]}}
I have not checked wether this is correct but it looks good.
--
Hendrik van Hees Phone: ++49 6159 71-2751
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