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arXiv · 2310.06864

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

Giuseppe Dattoli·Roberto Garra·Silvia Licciardi
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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.

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Giuseppe Dattoli, Roberto Garra, Silvia Licciardi. 2023-10-04. Hermite, Higher order Hermite, Laguerre type polynomials and Burgers like equations. https://arxiv.org/abs/2310.06864

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