English

Normal Ordering and Bessel Numbers with Integral Operators

Combinatorics 2026-02-06 v2

Abstract

We derive a normal ordering formula for the operator (xI)n(xI)^n, where II denotes the Volterra operator. The resulting coefficients are shown to coincide with the Bessel numbers. We also present two applications, along with a generalization of the main result.

Cite

@article{arxiv.2511.09817,
  title  = {Normal Ordering and Bessel Numbers with Integral Operators},
  author = {Abdelhay Benmoussa},
  journal= {arXiv preprint arXiv:2511.09817},
  year   = {2026}
}

Comments

6 pages

R2 v1 2026-07-01T07:34:49.371Z