Register

Adv. Query

Q&A (4920)

Reviews (208)

Open problems (49)
Meta (440)

Site Statistics

208 submissions , 166 unreviewed
5,152 questions , 2,266 unanswered
5,435 answers , 23,127 comments
1,470 users with positive rep
823 active unimported users
More ...

Are these relations of associated Legendre polynomials correct?

1065 views

Is the relation
$$\lim_{x\rightarrow 1}\frac{Q_n^m(x)}{P_n^m(x)}=\frac{\pi}{2}\cot m\pi$$
correct? Here $P$ and $Q$ are the associated Legendre polynomials of the first ans second kind respctively. Do anybody know how to prove it or the references that I can refer?

asked Feb 19, 2016 in Mathematics by Wein Eld (195 points) [ revision history ]
reshown Mar 1, 2016 by Wein Eld

where do you get the formula from? http://dlmf.nist.gov/14.9 might help to answer your question

commented Feb 21, 2016 by Arnold Neumaier (15,797 points) [ no revision ]

Your comment on this question:

To answer, leave an answer instead. Comments are usually for non-answers.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
To alert a user, please use the "@" command and remove spaces from the username, example, the user "John Doe" should be pinged as "@JohnDoe", while the user "Johndoe" should be pinged as "@Johndoe". The post author is always automatically pinged (unless you are the post author).
Please consult the FAQ for as to how to format your post.

Live preview (may slow down editor) Preview

Your name to display (optional):

Email me at this address if a comment is added after mine:

Privacy: Your email address will only be used for sending these notifications.

Anti-spam verification:

[captcha placeholder]

Please complete the anti-spam verification

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.

Live preview (may slow down editor) Preview

Your name to display (optional):

Email me at this address if my answer is selected or commented on:

Privacy: Your email address will only be used for sending these notifications.

Anti-spam verification:

If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
p$\hbar$ys$\varnothing$csOverflow
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).

Please complete the anti-spam verification

user contributions licensed under cc by-sa 3.0 with attribution required

Your rights

...