Multiple almost-Riordan arrays and the multiple almost-Riordan group

2026/07/21 by Tian-Xiao He
Mathematics · #Advanced Combinatorial Mathematics #Holomorphic and Operator Theory #Geometric and Algebraic Topology

paper · doi:10.1080/00927872.2026.2702014

Abstract

Building upon the study of multiple Riordan arrays and the multiple Riordan group, this paper introduces the concept of multiple almost-Riordan arrays and demonstrates that the collection of all such arrays forms a group, referred to as the multiple almost-Riordan group. The sequence characteristics and some properties of multiple almost-Riordan arrays are derived, and their corresponding production matrices are presented. Furthermore, the compression of multiple almost-Riordan arrays is defined, together with their sequence characterizations.

Citations

• On Some Alternative Characterizations of Riordan Arrays

Related

• Sequence Characterization of Multiple Almost-Riordan Arrays and Their Compressions
• The Double Almost-Riordan Arrays and Their Sequence Characterization, Compression, and Total Positivity
• The Multiple Riordan Group and the Multiple Riordan Semigroup
• On the Group of Almost-Riordan Arrays
• On pseudo-involutions, involutions and quasi-involutions in the group of almost Riordan arrays