The $\mathrm{U}$-Derivative Associated with Linear Recurrence Sequences 7GMD8J4200
| URI | m2://res/7GMD8J4200 |
|---|---|
| Kind | preprint |
| Creators | Ronald Orozco López |
| Date | 2026-10-14 |
| MSC | 46-XX |
| Subjects | arxiv math.FA |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-14 |
| Ids | arXiv 2610.20593, zbl_id 903213139 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| 1TDYXZ9BQ6 | statement | corollary 14 | arxiv |
| Spectral product rule | statement | theorem 12 | arxiv |
| Monomial product identity | statement | proposition 10 | arxiv |
| Spectral increments | definition | definition 9 | arxiv |
| 5R16G7V8YJ | definition | definition 20 | arxiv |
| Diagonal action of the Binet operator | statement | proposition 2 | arxiv |
| Non-Ward defect formula | statement | proposition 14 | arxiv |
| Ward form of the product rule | statement | proposition 8 | arxiv |
| General zero-defect criterion | statement | theorem 17 | arxiv |
| Degree-lowering property | statement | corollary 6 | arxiv |
| Linearity | statement | proposition 3 | arxiv |
| 8VNQDE0KB2 | statement | theorem 22 | arxiv |
| Leibniz defect | definition | definition 15 | arxiv |
| B5PANC3CVE | definition | definition 21 | arxiv |
| B73XSH5KY2 | statement | corollary 1 | arxiv |
| Third-order product rule | statement | corollary 10 | arxiv |
| Ward zero-defect criterion | statement | corollary 15 | arxiv |
| Local nilpotence | statement | theorem 8 | arxiv |
| Second-order Ward form | statement | corollary 9 | arxiv |
| Iterates on polynomials | statement | proposition 7 | arxiv |
| Recovery of the recurrence sequence | statement | proposition 5 | arxiv |
| Explicit defect formula | statement | proposition 11 | arxiv |
| Second-order addition identity | statement | corollary 12 | arxiv |
| Spectral orthogonality formula | statement | proposition 13 | arxiv |
| Structural decomposition | statement | corollary 7 | arxiv |
| Iterates on monomials | statement | theorem 7 | arxiv |
| Polynomial invariance criterion | statement | corollary 2 | arxiv |
| Second-order Ward addition identity | statement | corollary 13 | arxiv |
| Classification invariants | statement | corollary 19 | arxiv |
| Non-Ward zero-defect criterion | statement | corollary 17 | arxiv |
| Non-Ward regime | definition | definition 6 | arxiv |
| HW3GTVV0F6 | statement | corollary 3 | arxiv |
| Defect-free quotient rule | statement | corollary 18 | arxiv |
| Fundamental monomial identity | statement | theorem 4 | arxiv |
| Ward defect formula | statement | proposition 12 | arxiv |
| Ward regime | definition | definition 5 | arxiv |
| Spectral orthogonality criterion | statement | corollary 16 | arxiv |
| Operator characterization of the Ward regime | statement | proposition 6 | arxiv |
| $\U$-derivative | definition | definition 3 | arxiv |
| Complete monomial descent | statement | corollary 4 | arxiv |
| Fourth-order product rule | statement | corollary 11 | arxiv |
| Spectral Binet operator | definition | definition 2 | arxiv |
| Binet representation | statement | theorem 1 | arxiv |
| Second-order product rule | statement | corollary 8 | arxiv |
| Termination degree zero | statement | corollary 5 | arxiv |
| Z5QW7041GS | definition | definition 11 | arxiv |
| Number of interaction channels | statement | proposition 9 | arxiv |
| ZP6Y3PDYK6 | statement | proposition 1 | arxiv |
| General quotient rule | statement | theorem 19 | arxiv |
| Action on polynomials | statement | proposition 4 | arxiv |
Catalogue records
- arxiv: 2610.20593 (work)
- arxiv_text: 2610.20593 (work)
- zbmath_search: 903213139 (work)