Yet another criterion for the total positivity of Riordan arrays

DOI10.1016/j.laa.2021.11.005zbMath1478.15048arXiv2107.08436OpenAlexW3213655072MaRDI QIDQ2052180

Jianxi Mao, Lili Mu, Yi Wang

Publication date: 25 November 2021

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.08436

zbMATH Keywords

Pólya frequency sequencetotally positive matrixRiordan array

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Positive matrices and their generalizations; cones of matrices (15B48) Matrices of integers (15B36) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (6)

Some analytical properties of the matrix related to q-coloured Delannoy numbers ⋮ Proof of a conjecture on the total positivity of amazing matrices ⋮ The Laguerre-Pólya class and combinatorics. Abstracts from the workshop held March 13--19, 2022 ⋮ Analytic combinatorics of coordination numbers of cubic lattices ⋮ Unnamed Item ⋮ The Vertical Recursive Relation of Riordan Arrays and Their Matrix Representation

Cites Work

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• Matrix characterizations of Riordan arrays
• A probabilistic characterization of the dominance order on partitions
• Sequence characterization of Riordan arrays
• The Riordan group
• Riordan arrays and combinatorial sums
• Total positivity of Narayana matrices
• Total positivity of Riordan arrays
• Total positivity of recursive matrices
• Some (counter)examples on totally positive Riordan arrays
• Notes on the total positivity of Riordan arrays
• Totally positive matrices

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