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Total Positivity of Quasi-Riordan Arrays

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arxiv 2406.07120 v1 pith:7CJ3CSJ5 submitted 2024-06-11 math.CO

Tian-Xiao He , Roksana S{l}owik This is my paper · ORCID
classification math.CO
keywords arraysquasi-riordanpositivitytotalriordancharacterizationcorrelationdiscussion
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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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  1. Sequence Characterization of Multiple Almost-Riordan Arrays and Their Compressions

    math.CO 2025-09 reject novelty 5.0 of 10

    The author defines ℓ-level almost-Riordan arrays, states without proof that they form a group, and gives sequence and compression characterizations that reduce to previously published equations.

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