Hermite, Higher order Hermite, Laguerre type polynomials and Burgers like equations

Autor:	Dattoli, Giuseppe, Garra, Roberto, Licciardi, Silvia
Rok vydání:	2023
Předmět:	Mathematics - Classical Analysis and ODEs Mathematical Physics 58J35 33C45 35K05 42C05
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.06864 Zobrazit plný text záznamu View this record from Arxiv