Diagonals in Riordan matrices and applications
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915800308252672 |
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| author | Cheon, Gi-Sang Luzón, Ana Morón, Manuel A. Ramírez, José L. |
| author_facet | Cheon, Gi-Sang Luzón, Ana Morón, Manuel A. Ramírez, José L. |
| contents | We introduce a method for describing Riordan matrices via recurrence relations along their diagonals. This provides a new structural description that complements the classical row-wise and column-wise constructions via the A-sequence. As an application, we characterize families of palindromic Riordan polynomials, yielding a new combinatorial interpretation in terms of lattice paths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14822 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Diagonals in Riordan matrices and applications Cheon, Gi-Sang Luzón, Ana Morón, Manuel A. Ramírez, José L. Combinatorics 2020: 20H20, 15B99, 05A15 We introduce a method for describing Riordan matrices via recurrence relations along their diagonals. This provides a new structural description that complements the classical row-wise and column-wise constructions via the A-sequence. As an application, we characterize families of palindromic Riordan polynomials, yielding a new combinatorial interpretation in terms of lattice paths. |
| title | Diagonals in Riordan matrices and applications |
| topic | Combinatorics 2020: 20H20, 15B99, 05A15 |
| url | https://arxiv.org/abs/2602.14822 |