The double almost-Riordan group
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 of two types for double...
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| Published in | Linear algebra and its applications Vol. 705; pp. 50 - 88 |
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| Language | English |
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| Abstract | 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 of two types for double almost-Riordan arrays. In addition, we discuss the algebraic properties of the double almost-Riordan group, and finally give the compression of double almost-Riordan arrays and their sequence characteristics. |
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| AbstractList | 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 of two types for double almost-Riordan arrays. In addition, we discuss the algebraic properties of the double almost-Riordan group, and finally give the compression of double almost-Riordan arrays and their sequence characteristics. |
| Author | He, Tian-Xiao |
| Author_xml | – sequence: 1 givenname: Tian-Xiao orcidid: 0000-0002-9405-5808 surname: He fullname: He, Tian-Xiao email: the@iwu.edu organization: Department of Mathematics, Illinois Wesleyan University, Bloomington, IL 61702-2900, USA |
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| Cites_doi | 10.1016/S0012-365X(96)83023-8 10.1016/j.laa.2018.03.029 10.1080/10236199908808200 10.4153/CJM-1997-015-x 10.1007/s00026-009-0013-1 10.1006/aama.2001.0751 10.1016/j.dam.2014.03.005 10.37236/2034 10.1016/j.laa.2014.09.008 10.1080/00150517.1983.12429957 10.1016/j.aam.2004.05.002 10.1016/j.laa.2020.05.027 10.1016/0166-218X(91)90088-E 10.1016/0097-3165(78)90068-7 10.1016/S0304-3975(02)00020-8 10.1016/j.laa.2023.01.012 10.1006/jcta.1996.0094 10.1016/j.laa.2023.09.009 10.1016/0012-365X(78)90063-8 10.1016/j.disc.2008.11.021 |
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| Keywords | 11B39 Generating function Production matrix or Stieltjes matrix Succession rule 15A06 15B36 The double almost-Riordan group Double almost-Riordan arrays 11B83 11B73 05A19 Sequence characterization 05A05 05A15 |
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| SubjectTerms | Double almost-Riordan arrays Generating function Production matrix or Stieltjes matrix Sequence characterization Succession rule The double almost-Riordan group |
| Title | The double almost-Riordan group |
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