Timeline for Equality cannot hold unless $x \in \{-1,1\}$ and/or Wronskian is not zero
Current License: CC BY-SA 3.0
7 events
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| Mar 19, 2015 at 11:44 | comment | added | Willie Wong | Actually, re-reading your answer I noticed that it is much more elegant than I originally thought. So +1 and I won't bother thinking about it more. // and yes, I absent-mindedly forgot to type the $m$ in my previous comment. | |
| Mar 19, 2015 at 11:36 | comment | added | Willie Wong | @FedorPetrov: oops, you are right. I did over look that fact. In fact I only have $[(1-x^2) W]' = 2 (\ell + 1) P_\ell P_{\ell + 1}$ which is not enough. This should be fixable, let me think about it and delete my previous comment in the mean while. | |
| Mar 19, 2015 at 10:49 | comment | added | Fedor Petrov | @WillieWong but associated Legendre polynomials satisfy different second order ODEs, depending on $l$. Or what am I missing? | |
| Mar 11, 2015 at 23:33 | vote | accept | Simon B. | ||
| Mar 11, 2015 at 21:33 | history | edited | Fedor Petrov | CC BY-SA 3.0 |
added 191 characters in body
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| Mar 11, 2015 at 20:41 | comment | added | Simon B. | you know that although the associated legendre polynomials are called polynomials, they are not necessarily polynomials, so I am not sure why we must have all these properties that you named. (although this might work especially in the case m=0). | |
| Mar 11, 2015 at 20:29 | history | answered | Fedor Petrov | CC BY-SA 3.0 |