Talk:Associated Legendre function

From Citizendium
Revision as of 03:27, 6 September 2009 by imported>Paul Wormer (→‎Move of equation)
Jump to navigation Jump to search
This article is developed but not approved.
Main Article
Discussion
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
Catalogs [?]
Proofs [?]
 
To learn how to update the categories for this article, see here. To update categories, edit the metadata template.
 Definition Function defined by where P denotes a Legendre function. [d] [e]
Checklist and Archives
 Workgroup categories mathematics and physics [Please add or review categories]
 Talk Archive none  English language variant British English

Started from scratch, because (as so often) the Wikipedia article contains many duplications.--Paul Wormer 10:08, 22 August 2007 (CDT)

Added link to proof of orthogonality and derivation of normalization constant

I added a link to a proof of the first integral equation in the Orthogonality relations section Dan Nessett 16:39, 11 July 2009 (UTC)

Formattting of proof

I formatted the proof somewhat to my taste (which is mainly determined by a careful reading of Knuth's the TeXbook). Most of my changes are self-explanatory. I added the integration by parts formula, because it was not clear at all where the u and the v' came from. Further

--Paul Wormer 12:43, 5 September 2009 (UTC)

Nice formating. Thanks for catching the problem. Also, I agree it is better to explicitly provide the integration by parts formula, rather than expecting the reader to already know it. Dan Nessett 00:49, 6 September 2009 (UTC)

Move of equation

I moved the dif. eq. from the proof page to the main article. I did this because the proof does not use the dif. eq., but uses the definition of the assleg's (which is given in the statement of the theorem). --Paul Wormer 09:24, 6 September 2009 (UTC)