3 papers
math.CO2025
Sequence Characterization of Multiple Almost-Riordan Arrays and Their Compressions
Tian-Xiao He
This is the second paper of the paper series on multiple Riordan arrays. In this paper, based on the study of multiple Riordan arrays and the multiple Riordan group, we define mult…
math.CO2025
The Multiple Riordan Group and the Multiple Riordan Type Arrays
Tian-Xiao He
This is the first paper of a sequence papers on the multiple Riordan group and the multiple Riordon type arrays. We give a comprehensive discussion of the multiple Riordan arrays a…
math.CO2025
The Double Almost-Riordan Arrays and Their Sequence Characterization, Compression, and Total Positivity
Tian-Xiao He
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 obtai…