English

A general identity for umbral operators and a special subclass

Combinatorics 2026-05-21 v2

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.

Keywords

Cite

@article{arxiv.2601.10275,
  title  = {A general identity for umbral operators and a special subclass},
  author = {Kei Beauduin},
  journal= {arXiv preprint arXiv:2601.10275},
  year   = {2026}
}
R2 v1 2026-07-01T09:05:38.890Z