Heat Polynomials, Umbral Correspondence and Burgers Equations

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dc.creatorDattoli, G.
dc.creatorLevi, D.
dc.date2006-10-31
dc.date.accessioned2026-07-07T07:29:45Z
dc.date.available2026-07-07T07:29:45Z
dc.descriptionWe show that the umbral correspondence between differential equations can be achieved by means of a suitable transformation preserving the algebraic structure of the problems. We present the general properties of these transformations, derive explicit examples and discuss them in the case of the Appèl and Sheffer polynomial families. We apply these transformations to non-linear equations, and discuss how the relevant solutions should be interpreted.
dc.identifierhttps://arxiv.org/abs/nlin/0610076
dc.identifierhttp://arxiv.org/abs/nlin/0610076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118233
dc.subjectExactly Solvable and Integrable Systems
dc.titleHeat Polynomials, Umbral Correspondence and Burgers Equations
dc.typetext

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