problem with DSolve and spheroidal harmonics

*To*: mathgroup at smc.vnet.net*Subject*: [mg128292] problem with DSolve and spheroidal harmonics*From*: Tom Dickens <tomdickens at att.net>*Date*: Fri, 5 Oct 2012 02:49:27 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net

All, I wonder if this is a bug. I'm working on a project involving spheroidal harmonics, and tried the following example from the Help: DSolve[(1 - x^2) y''[x] - 2 x y'[x] + (SpheroidalEigenvalue[n, m, c] + c^2 (1 - x^2) - m^2-( 1 - x^2)) y[x] == 0, y, x] {{y -> Function[{x}, C[1] SpheroidalPS[n, m, c, x] + C[2] SpheroidalQS[n, m, c, x]]}} This shows (in the Help) that the defining differential equation is solved correctly. However, when I run it in either v7 or v8 I get a differential root object {{y->DifferentialRoot[Function[{-[FormalY],-[FormalX]},{-[FormalY][-[FormalX]] (1--[FormalX]^2-c^2+-[FormalX]^2 c^2+m^2-SpheroidalEigenvalue[n,m,c])+2 -[FormalX] (-[FormalY]^-[Prime])[-[FormalX]]+(-1+-[FormalX]^2) (-[FormalY]^-[Prime]-[Prime])[-[FormalX]]==0,-[FormalY][0]==C[1],(-[FormalY]^-[Prime])[0]==C[2]}]]}} Any thoughts? Thanks, Tom

**Follow-Ups**:**Re: problem with DSolve and spheroidal harmonics***From:*Bob Hanlon <hanlonr357@gmail.com>