A general identity for umbral operators and a special subclass

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Kei Beauduin
DOI: 10.48550/arxiv.2601.10275
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Advanced Combinatorial Mathematics Mathematical functions and polynomials Advanced Mathematical Identities

Publication details

Journal / source
arXiv (Cornell University)
Publication date
15 January 2026
Document type
Preprint