The Triple Riordan Group
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916512692961280 |
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| author | Barry, Paul |
| author_facet | Barry, Paul |
| contents | We define the triple Riordan group, whose elements consist of $4$-tuples of power series $(g, f_1, f_2, f_3)$ with $g\in \mathbf{R}[[x^3]]$, and $f_1, f_2, f_3 \in x\mathbf{R}[[x^3]]$, for an appropriate ring $\mathbf{R}$. The construction of this group generalizes that of the double Riordan group, and lays the pattern for further generalizations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05461 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Triple Riordan Group Barry, Paul Combinatorics Primary 15B36, Secondary 05A15, 11B83, 11C20, 15A15 We define the triple Riordan group, whose elements consist of $4$-tuples of power series $(g, f_1, f_2, f_3)$ with $g\in \mathbf{R}[[x^3]]$, and $f_1, f_2, f_3 \in x\mathbf{R}[[x^3]]$, for an appropriate ring $\mathbf{R}$. The construction of this group generalizes that of the double Riordan group, and lays the pattern for further generalizations. |
| title | The Triple Riordan Group |
| topic | Combinatorics Primary 15B36, Secondary 05A15, 11B83, 11C20, 15A15 |
| url | https://arxiv.org/abs/2412.05461 |