Associated Legendre function/Proofs: Revision history

22 March 2012

• curprev 12:5212:52, 22 March 2012‎ imported>Dan Nessett‎ 16,449 bytes −37‎ →‎Theorem (orthogonality relation 2): Some more math formula fixes
• curprev 12:3612:36, 22 March 2012‎ imported>Dan Nessett‎ 16,486 bytes −5‎ →‎Theorem (orthogonality relation 2): Fix another mis-specified math formula
• curprev 12:3412:34, 22 March 2012‎ imported>Dan Nessett‎ 16,491 bytes −15‎ →‎Theorem (orthogonality relation 2): Fix mis-specified math
• curprev 12:2112:21, 22 March 2012‎ imported>Dan Nessett‎ 16,506 bytes +16,506‎ →‎Theorem (orthogonality relation 2)
• curprev 11:5211:52, 22 March 2012‎ imported>Dan Nessett‎ m 16,504 bytes −1‎ →‎Proof: Remove extraneous ] character

6 October 2009

• curprev 16:3416:34, 6 October 2009‎ imported>Dan Nessett‎ 16,505 bytes +112‎ →‎Proof: fixed some places where it was difficult to distinguish between 1 and L. Fixed fraction in exponent

28 September 2009

• curprev 11:4111:41, 28 September 2009‎ imported>Dan Nessett‎ 16,393 bytes +16,393‎ Added proof of 2nd orthogonality relation and the computation of the normalization constant for it

9 September 2009

• curprev 12:5612:56, 9 September 2009‎ imported>Dan Nessett‎ 10,409 bytes −75‎ reintegrated old comment about evaluating the overlap integral whether or not k=l

8 September 2009

• curprev 13:3913:39, 8 September 2009‎ imported>Dan Nessett‎ m 10,484 bytes +11‎ typo
• curprev 13:3813:38, 8 September 2009‎ imported>Dan Nessett‎ 10,485 bytes +12‎ corrected reference to Legendre polynomial to Legendre functions and fixed grammar
• curprev 13:3213:32, 8 September 2009‎ imported>Dan Nessett‎ m 10,467 bytes +4‎ grammar
• curprev 13:3113:31, 8 September 2009‎ imported>Dan Nessett‎ 10,463 bytes −10‎ changed future tense of first sentence to present tense in keeping with normal practice
• curprev 12:2812:28, 8 September 2009‎ imported>Dan Nessett‎ 10,473 bytes −68‎ corrected error in (-1) exponent in change of variable equation
• curprev 12:0412:04, 8 September 2009‎ imported>Dan Nessett‎ 10,541 bytes +295‎ Reintroduced (-1)^l into the proof.

7 September 2009

• curprev 15:4915:49, 7 September 2009‎ imported>Dan Nessett‎ 10,396 bytes +308‎ fixed logic on recursive use of fraction in int (x^2-1) dx. Also made the computation of the factorials more explicit.
• curprev 12:5812:58, 7 September 2009‎ imported>Dan Nessett‎ 10,076 bytes −12‎ Removed power of -1 expression in front of explicit recursive expression for int (x^2-1)^l dx in both places this time
• curprev 12:5612:56, 7 September 2009‎ imported>Dan Nessett‎ 10,088 bytes −6‎ Undo revision 100563068 by Dan Nessett (Talk)
• curprev 12:5312:53, 7 September 2009‎ imported>Dan Nessett‎ 10,083 bytes −5‎ missed power of -1 after equal sign. Corrected this.
• curprev 12:5212:52, 7 September 2009‎ imported>Dan Nessett‎ 10,088 bytes −6‎ removed power of -1 expression in front of explicit recursive expression for int (x^2-1)^l dx
• curprev 12:2812:28, 7 September 2009‎ imported>Dan Nessett‎ 10,094 bytes −152‎ removed power of -1 expression from K(m,k,l) equation. Removed minus sign in front of integral of (x^2-1)^l

6 September 2009

• curprev 08:2308:23, 6 September 2009‎ imported>Paul Wormer‎ 10,101 bytes +20‎ →‎Proof
• curprev 08:1508:15, 6 September 2009‎ imported>Paul Wormer‎ 10,091 bytes +5‎ →‎Proof
• curprev 05:3905:39, 6 September 2009‎ imported>Paul Wormer‎ 10,086 bytes −28‎ No edit summary
• curprev 05:3805:38, 6 September 2009‎ imported>Paul Wormer‎ 10,114 bytes +33‎ →‎Proof
• curprev 04:2504:25, 6 September 2009‎ imported>Paul Wormer‎ 10,081 bytes −165‎ →‎Proof
• curprev 04:2104:21, 6 September 2009‎ imported>Paul Wormer‎ 10,210 bytes −36‎ →‎Proof

5 September 2009

• curprev 09:4009:40, 5 September 2009‎ imported>Paul Wormer‎ 10,246 bytes −32‎ →‎Comments
• curprev 09:3409:34, 5 September 2009‎ imported>Paul Wormer‎ 10,278 bytes +10,278‎ →‎Comments
• curprev 07:3307:33, 5 September 2009‎ imported>Paul Wormer‎ 9,320 bytes +695‎ →‎Proof
• curprev 05:1505:15, 5 September 2009‎ imported>Paul Wormer‎ 8,625 bytes −267‎ →‎Orthonormality Proof: To be continued

27 August 2009

• curprev 17:3917:39, 27 August 2009‎ imported>Dan Nessett‎ 8,892 bytes −309‎ added {{subpages}} template call
• curprev 17:3517:35, 27 August 2009‎ imported>Dan Nessett‎ 8,879 bytes +61‎ Increased header level so other proofs can be inserted on proof page. Also, linked the Sturm-Liouville equation link to the new Sturm_Liouville article
• curprev 17:2617:26, 27 August 2009‎ imported>Dan Nessett‎ 8,818 bytes −383‎ Moved reference to Bibliography sub-page. Eliminated See Also section, since the topics it listed are given on the Related Articles sub-page
• curprev 17:2317:23, 27 August 2009‎ imported>Dan Nessett‎ 8,908 bytes −293‎ →‎References
• curprev 17:0217:02, 27 August 2009‎ imported>Peter Schmitt‎ m 9,201 bytes +1,946‎ Associated Legendre function/Addendum moved to Associated Legendre function/Proofs: correct subpage

14 July 2009

• curprev 10:0810:08, 14 July 2009‎ imported>Dan Nessett‎ 9,201 bytes +1,946‎ Integrated alternate ways that show orthogonality

11 July 2009

• curprev 11:2411:24, 11 July 2009‎ imported>Dan Nessett‎ 7,255 bytes +7,255‎ Changed "article" to "addendum" in first sentence
• curprev 11:0411:04, 11 July 2009‎ imported>Dan Nessett‎ 7,254 bytes +7,254‎ New page: This article proves that the Associated Legendre Functions are orthogonal and derives their normalization constant. ==Theorem== <math>\int\limits_{-1}^{1}P_{l}^{m} \left( x\right) P_{k}...