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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.05334 |
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| _version_ | 1866917920680968192 |
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| author | He, Tian-Xiao |
| author_facet | He, Tian-Xiao |
| contents | In this paper, we define double almost-Riordan arrays and find that the set of all double almost-Riordan arrays forms a group, called the double almost-Riordan group. We also obtain the sequence characteristics of double almost-Riordan arrays and give the production matrices for double almost-Riordan arrays. We define the compression of double almost-Riordan arrays and present their sequence characterization. Finally we give a characteristic for the total positivity of double Riordan arrays, by using which we discuss the total positivity for compressed double almost-Riordan arrays. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05334 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Double Almost-Riordan Arrays and Their Sequence Characterization, Compression, and Total Positivity He, Tian-Xiao Combinatorics In this paper, we define double almost-Riordan arrays and find that the set of all double almost-Riordan arrays forms a group, called the double almost-Riordan group. We also obtain the sequence characteristics of double almost-Riordan arrays and give the production matrices for double almost-Riordan arrays. We define the compression of double almost-Riordan arrays and present their sequence characterization. Finally we give a characteristic for the total positivity of double Riordan arrays, by using which we discuss the total positivity for compressed double almost-Riordan arrays. |
| title | The Double Almost-Riordan Arrays and Their Sequence Characterization, Compression, and Total Positivity |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2411.05334 |