Log-concavity and strong $q$-log-convexity for some generalized triangular arrays
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912048543170560 |
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| author | Boualam, Rezig Ahmia, Moussa |
| author_facet | Boualam, Rezig Ahmia, Moussa |
| contents | In this paper, we provide criteria for the log-concavity of rows and the strong $q$-log-convexity of the generating functions of rows in more generalized triangles. Additionally, we prove that the bi$^s$nomial transformation not only preserves the strong $q$-log-convexity property but also preserves the strong $q$-log-concavity property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18886 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Log-concavity and strong $q$-log-convexity for some generalized triangular arrays Boualam, Rezig Ahmia, Moussa Combinatorics 05A05, 05A15, 05A30, 11B73 In this paper, we provide criteria for the log-concavity of rows and the strong $q$-log-convexity of the generating functions of rows in more generalized triangles. Additionally, we prove that the bi$^s$nomial transformation not only preserves the strong $q$-log-convexity property but also preserves the strong $q$-log-concavity property. |
| title | Log-concavity and strong $q$-log-convexity for some generalized triangular arrays |
| topic | Combinatorics 05A05, 05A15, 05A30, 11B73 |
| url | https://arxiv.org/abs/2409.18886 |