Total Positivity of Quasi-Riordan Arrays
Tian-Xiao He, Roksana S{\l}owik
TL;DR
This paper investigates the total positivity property of quasi-Riordan arrays using sequence characterization, extending the understanding of total positivity from Riordan arrays to quasi-Riordan arrays.
Contribution
It provides a detailed analysis of the total positivity of quasi-Riordan arrays, leveraging their relationship with Riordan arrays.
Findings
Established total positivity conditions for quasi-Riordan arrays
Linked total positivity of quasi-Riordan arrays to that of Riordan arrays
Enhanced understanding of the structure of quasi-Riordan arrays
Abstract
In this paper the total positivity of quasi-Riordan arrays is investigated with use of the sequence characterization of quasi-Riordan arrays. Due to the correlation between quasi-Riordan arrays and Riordan arrays, this study is an in-depth discussion of the total positivity of Riordan arrays.
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Taxonomy
Topicsgraph theory and CDMA systems · Cellular Automata and Applications · Coding theory and cryptography