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Re: hating DSolve...
*To*: mathgroup at smc.vnet.net
*Subject*: [mg23297] Re: [mg23273] hating DSolve...
*From*: BobHanlon at aol.com
*Date*: Sun, 30 Apr 2000 21:13:47 -0400 (EDT)
*Sender*: owner-wri-mathgroup at wolfram.com
Version 4 handles your 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]
{{f[z] -> C[1]*LegendreP[1/2*(Sqrt[4*(a^2 + a) + 1] - 1), Sqrt[m^2], z] +
C[2]*LegendreQ[1/2*(Sqrt[4*(a^2 + a) + 1] - 1), Sqrt[m^2], z]}}
In a message dated 4/29/2000 10:21:47 PM, attico at localhost.localdomain writes:
>It seems to me that Mathematica DSolve is not able
>to find the solution of the very standard Legendre equation...
>When it could be useful....
>
>DSolve[(1-z^2) f''[z]-2 z f'[z]+(a(a+1)-(m^2/(1-z^2)))f[z]==0,f[z],z]
>
Bob
BobHanlon at aol.com
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