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Mar 5 at 6:09 comment added Tom Copeland A note on a property of the Laguerre polynomials, not often mentioned, in the post "Newton Polygons and Galois Groups" at Matt Baker's blog mattbaker.blog/2014/05/02/newton-polygons-and-galois-groups .
Sep 7, 2020 at 0:42 history edited Tom Copeland CC BY-SA 4.0
corrected spelling of a name
Sep 16, 2019 at 20:14 comment added Tom Copeland My favorites are $n! L^{−1}_n(:xD:)$, the normalized Laguerre polynomials of order −1, self-inverse under umbral composition, otherwise known as the Lah polynomials with connections to sl2, modular functions, and quantum mechanics. Cf. oeis.org/A111596
Sep 16, 2019 at 19:21 history edited Tom Copeland CC BY-SA 4.0
Introduced synopsis of operator relations.
Aug 25, 2015 at 21:48 history edited Tom Copeland CC BY-SA 3.0
historical note on Poole
Sep 20, 2012 at 0:46 comment added Tom Copeland See also Chatterjea "Operational representations for the Laguerre polynomials" archive.numdam.org/ARCHIVE/ASNSP/ASNSP_1966_3_20_4/…
Sep 19, 2012 at 2:42 comment added Tom Copeland As an aside, the operator $(xDx)^n=x^nD^nx^n=x^n n! L_n(-\widehat{xD})$ where $\widehat{xD}^n=x^nD^n$, has a long and interesting history.
Sep 19, 2012 at 2:23 history edited Tom Copeland CC BY-SA 3.0
added 26 characters in body
Sep 19, 2012 at 1:56 history edited Tom Copeland CC BY-SA 3.0
Elaborated
Sep 17, 2012 at 13:49 vote accept Emilio Pisanty
Sep 14, 2012 at 23:07 history edited Tom Copeland CC BY-SA 3.0
Corrected math error
Sep 14, 2012 at 16:36 history edited Tom Copeland CC BY-SA 3.0
Added another ref.; added 53 characters in body
Sep 14, 2012 at 15:40 history answered Tom Copeland CC BY-SA 3.0