Metadata
bibkey: dlmf2010hermitecoefficients
authors: NIST Digital Library of Mathematical Functions
year: 2010
title: "DLMF 18.5.13, explicit representation of Hermite polynomials"
doi: null
url: https://dlmf.nist.gov/18.5.E13
claim: "The physicists Hermite polynomial has the finite factorial coefficient expansion in equation 18.5.13."
strata_touched:
- D5/S3/Analytic/Polynomial/HermiteSignedMode
license: citation-only
triage: anchor
Verified locator
Source: https://dlmf.nist.gov/18.5.E13.tex, equation 18.5.13.
The formal polynomial distributes n! into this finite sum and expands the power of 2 in each monomial coefficient over the rationals. The coefficient selector is therefore for physicists H_n. Pinned Mathlib Polynomial.hermite is the probabilists polynomial and is not used as a substitute for this normalization.