Some (counter)examples on totally positive Riordan arrays

DOI10.1016/j.laa.2020.02.021zbMath1436.15039OpenAlexW3008796556MaRDI QIDQ2310411

Roksana Słowik

Publication date: 6 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.laa.2020.02.021

zbMATH Keywords

Pólya frequency sequencetotally positive matrixRiordan array\(A\)-sequence\(Z\)-sequencePólya frequency formal power series

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Matrices of integers (15B36) Matrices, determinants in number theory (11C20) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (2)

Yet another criterion for the total positivity of Riordan arrays ⋮ Some (counter)examples on totally positive Riordan arrays

Cites Work

• Matrix characterizations of Riordan arrays
• Sequence characterization of Riordan arrays
• Production matrices
• Generating trees and proper Riordan arrays
• 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
• On the generating functions of totally positive sequences. I

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