The double almost-Riordan group

• Published in: Linear algebra and its applications Vol. 705; pp. 50 - 88
• Main Author: He, Tian-Xiao
• Format: Journal Article
• Language: English
• 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

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...