A general identity for umbral operators and a special subclass

Fuente: arXiv
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Autore principale: Beauduin, Kei
Natura: Preprint
Pubblicazione: 2026
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author Beauduin, Kei
author_facet Beauduin, Kei
contents We prove a new universal identity for umbral operators. This motivates the definition of a subclass satisfying a simplified identity, which we fully characterize. The results are illustrated with common examples of the theory of umbral calculus.
format Preprint
id arxiv_https___arxiv_org_abs_2601_10275
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A general identity for umbral operators and a special subclass
Beauduin, Kei
Combinatorics
05A40, 13F25, 11B73, 05A10, 05A19, 47B99, 11B68
We prove a new universal identity for umbral operators. This motivates the definition of a subclass satisfying a simplified identity, which we fully characterize. The results are illustrated with common examples of the theory of umbral calculus.
title A general identity for umbral operators and a special subclass
topic Combinatorics
05A40, 13F25, 11B73, 05A10, 05A19, 47B99, 11B68
url https://arxiv.org/abs/2601.10275