Mathematica 9 is now available
Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
2000
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2000

[Date Index] [Thread Index] [Author Index]

Search the Archive

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


  • Prev by Date: Re: DSolve, it should be beautiful...
  • Next by Date: Re: collect derivatives
  • Previous by thread: hating DSolve...
  • Next by thread: Re: hating DSolve...