Hermite, Higher order Hermite, Laguerre type polynomials and Burgers like equations
Classical Analysis and ODEs
2023-10-12 v1 Mathematical Physics
math.MP
Abstract
The multivariable version of ordinary and generalized Hermite polynomials are the natural solutions of the classical heat equation and of its higher order versions. We derive the associated Burgers equations and show that analogous non-linear partial differential equations can be derived for Laguerre polynomials and for the relevant generalizations.
Keywords
Cite
@article{arxiv.2310.06864,
title = {Hermite, Higher order Hermite, Laguerre type polynomials and Burgers like equations},
author = {Giuseppe Dattoli and Roberto Garra and Silvia Licciardi},
journal= {arXiv preprint arXiv:2310.06864},
year = {2023}
}