Appell and Sheffer sequences: on their characterizations through functionals and examples

The aim of this paper is to present a new simple recurrence for Appell and Sheffer sequences in terms of the linear functional that defines them, and to explain how this is equivalent to several well-known characterizations appearing in the literature. We also give several examples, including integr...

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Bibliographic Details
Main Authors: Carrillo, Sergio A., Hurtado, Miguel
Format: Article
Language:English
Published: Académie des sciences 2021-03-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.172/