Operational formulae for the complex Hermite polynomials
Classical Analysis and ODEs
2013-06-04 v3 Mathematical Physics
math.MP
Abstract
We give operational formulae of Burchnall type involving complex Hermite polynomials. Short proofs of some known formulae are given and new results involving these polynomials, including Nielsen's identities and Runge addition formula, are derived.
Keywords
Cite
@article{arxiv.1211.5746,
title = {Operational formulae for the complex Hermite polynomials},
author = {Allal Ghanmi},
journal= {arXiv preprint arXiv:1211.5746},
year = {2013}
}
Comments
11 pages. Typographical errors communicated to the author by Mourad Ismail are corrected in this version. Found in Integral Transforms and Special Functions 2013