Complete Factorial Asymptotics and Integrable Structure of Generalized Charlier Recurrence Coefficients V13TE1RWT9
| URI | m2://res/V13TE1RWT9 |
|---|---|
| Kind | preprint |
| Creators | Mahouton Norbert Hounkonnou |
| Date | 2026-09-30 |
| MSC | 81-XX |
| Subjects | arxiv math-ph, arxiv math.MP |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-09-30 |
| Ids | arXiv 2610.00396, zbl_id 903192942 |
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 |
|---|---|---|---|
| Fixed-level convergence | statement | theorem 10.8 | arxiv |
| Explicit three-level formula | statement | proposition A.3 | arxiv |
| Occupation-number formula | statement | proposition A.1 | arxiv |
| Factorial upper bound | statement | proposition 4.3 | arxiv |
| Exact limiting reduced tau function | statement | theorem 10.12 | arxiv |
| Schur representation of the interaction factor | statement | proposition 10.4 | arxiv |
| Main results | statement | theorem 1.1 | arxiv |
| Discrete partition-function representation | statement | proposition 9.1 | arxiv |
| Explicit two-level formula | statement | proposition A.2 | arxiv |
| Exact coefficient factorization | statement | proposition A.5 | arxiv |
| Three-level truncation limit | statement | theorem A.6 | arxiv |
| Connection constant | statement | theorem 10.13 | arxiv |
| Eventual strict monotonicity | statement | proposition 4.2 | arxiv |
| Convergence to zero | statement | proposition 4.1 | arxiv |
| Hook-length representation | statement | proposition 10.5 | arxiv |
| Uniform tail estimate | statement | theorem 10.6 | arxiv |
| Uniform truncation principle | statement | theorem 10.3 | arxiv |
| Discrete Wronskian identity | statement | proposition 5.1 | arxiv |
| Existence of the connection constant | statement | corollary 5.3 | arxiv |
| Fixed-occupation limit | statement | proposition A.4 | arxiv |
| Exact sector decomposition | statement | proposition 9.3 | arxiv |
| Conditional Bessel comparison | statement | proposition 5.2 | arxiv |
| Differentiated normalized-sector limit | statement | lemma 10.10 | arxiv |
| Limit of the partition correction factor | statement | lemma 10.7 | arxiv |
| Excitation expansion | statement | proposition 9.2 | arxiv |
| Normalized sector representation | statement | proposition 10.2 | arxiv |
| Partition expansion of the reduced tau function | statement | proposition 10.11 | arxiv |
| Bessel comparison and factorial asymptotics | conjecture | conjecture 3.1 | arxiv |
| YP4PYZWS7K | statement | lemma 10.9 | arxiv |
| Sector asymptotics and recurrence coefficients | statement | proposition 10.1 | arxiv |
Catalogue records
- arxiv: 2610.00396 (work)
- arxiv_text: 2610.00396 (work)
- zbmath_search: 903192942 (work)