Talk:Laguerre polynomials

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Contents 1 Applications of Laguerre polynomials 2 Definition of Laguerre polynomials 3 Bibliography: Self-references 4 Usage

[edit] Applications of Laguerre polynomials

Can anyone provide more concrete examples of when the Laguerre polynomials arise in real-life science or engineering applications? 171.64.133.56 22:49, 24 February 2006 (UTC)

[edit] Definition of Laguerre polynomials

There are two accepted definitions of the Laguerre Polynomials, that differ in a n! factor. Since these polynomials are referenced in some articles (such as hydrogen atom), we should be careful about which definition to use.

To be coherent with the rest of the article, I have changed the few examples of laguerre polynomials to the standard previously used in the article.

John C PI 17:48, 19 December 2005 (UTC) I came across a couple of (online) articles, where Laguerre polynomials were connected with the analysis of particles, oscillation, resonance-frequences and such. However I'm not able to give a true overview Gotti

I came across a couple of (online) articles, where Laguerre polynomials were connected with the analysis of particles, oscillation, resonance-frequences and such. However I'm not able to give a true overview Another application is in the theory of summation of divergent series. One finds it in G.H. Hardy "divergent series" in connection with a more generalized concept of Hausdorff means. A special consideration was done by Kurt Endl; two articles (german language) are online available at Goettingen Digitizing Centre (GDZ).

Gottfried Helms

--Gotti 07:59, 13 October 2006 (UTC)

[edit] Bibliography: Self-references

Here, as in many other math-related articles, User:Rea5, and other anonymous IPs (probably a dynamic IP) have been adding references to a book authored by Refaat El Ataar. This is not a notable math book (specially because it was edited in 2006!), so many users have been reverting those reference inclusions. Probably, it's a self-reference.

If you are the user who includes this references, please discuss it here first and explain why you think that book should be listed here. Otherwise, references to Refaat El Ataar books in this article will keep being removed.

--John C PI 14:37, 31 January 2006 (UTC)

[edit] Usage

It crops up in quantum mechanics for the solution of the spherically symmetric (Coulomb) potential.

While I'm here, would it not be better to express the ODE as

for consistency of notation?

Cdyson37 (T) 17:55, 27 May 2006 (UTC)

Done. See if this is OK. William Ackerman 16:34, 30 May 2006 (UTC)