Abstract
We apply the Lie bracket approach to characterize the semi-derivations on the positive integers. The approach is motivated by the Stroock-Lie bracket identity commonly used in Malliavin calculus.
| Original language | English |
|---|---|
| Article number | 20.2.5 |
| Journal | Journal of Integer Sequences |
| Volume | 23 |
| Issue number | 2 |
| Publication status | Published - 2020 |
| Externally published | Yes |
Keywords
- Arithmetic derivative
- Integer sequence
- Leibnitz rule
- Prime number
- Unique factorization
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics