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The Multiple Riordan Group and the Multiple Riordan Type Arrays

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arxiv 2504.04049 v3 pith:LET3QNV6 submitted 2025-04-05 math.CO

classification math.CO
keywords multipleriordanarraysgroupsequencecompressionsgivetype
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abstract

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 and characterize them by an $A$-sequence and multiple $Z$-sequences. The multiple Riordan group and some of its subgroups are defined. In addition, we give compressions of multiple Riordan arrays and their sequence characterizations. The total positivity of the compressions of multiple Riordan arrays is studied.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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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