Proof of a conjecture by Gazeau et al. using the Gould Hopper polynomials
Mathematical Physics
2015-06-04 v1 math.MP
Abstract
We prove the "strong conjecture" expressed by Gazeau et al. in arXiv:1203.3936v1 [math-ph] about the coefficients of the Taylor expansion of the exponential of a polynomial. This implies the "weak conjecture" as a special case. The proof relies mainly about properties of the Gould-Hopper polynomials.
Keywords
Cite
@article{arxiv.1203.5418,
title = {Proof of a conjecture by Gazeau et al. using the Gould Hopper polynomials},
author = {C. Vignat and O. Lévêque},
journal= {arXiv preprint arXiv:1203.5418},
year = {2015}
}