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Re: hating DSolve...


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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