REPRESENTATIONS BY ORDERED BELL AND DEGENERATE ORDERED BELL POLYNOMIALS
We consider the problem of representing any polynomial in terms of the ordered Bell and degenerate ordered Bell polynomials, and more generally of the higher-order ordered Bell and higher-order degenerate ordered Bell polynomials. We derive explicit formulas with the help of umbral calculus and illustrate our results with some examples.
Authors
- Dae San Kim (ORCID: https://orcid.org/0000-0001-9599-7015)
- Taekyun Kim (ORCID: https://orcid.org/0000-0002-3731-7023)
Publication Details
- Journal
- Rocky Mountain Journal of Mathematics
- Published
- 2025-04-01
- DOI
- https://doi.org/10.1216/rmj.2025.55.381
- Citations
- 1
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 5.33