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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Bibliographic Details
Published inLinear algebra and its applications Vol. 705; pp. 50 - 88
Main Author He, Tian-Xiao
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.01.2025
Subjects
Double almost-Riordan arrays
Generating function
Production matrix or Stieltjes matrix
Sequence characterization
Succession rule
The double almost-Riordan group
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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Summary: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.
ISSN:0024-3795
DOI:10.1016/j.laa.2024.10.027