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