Row polynomial matrices of Riordan arrays

DOI10.1016/j.laa.2017.02.006zbMath1358.05030OpenAlexW2586224603MaRDI QIDQ518106

Jianxi Mao, Lili Mu, Yi Wang

Publication date: 28 March 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.02.006

zbMATH Keywords

total positivityRiordan array\(\log\)-convexity

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial inequalities (05A20) Miscellaneous inequalities involving matrices (15A45) Special matrices (15B99)

Related Items (4)

Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity ⋮ Summations on the diagonals of a Riordan array and some applications ⋮ Total positivity of some polynomial matrices that enumerate labeled trees and forests. I: Forests of rooted labeled trees ⋮ The dual of number sequences, Riordan polynomials, and Sheffer polynomials

Cites Work

• Unnamed Item
• Row sums and alternating sums of Riordan arrays
• Combinatorial sums through Riordan arrays
• Combinatorics of Riordan arrays with identical \(A\) and \(Z\) sequences
• Matrix characterizations of Riordan arrays
• Identities induced by Riordan arrays
• Log-convexity of Aigner-Catalan-Riordan numbers
• Log-concavity and LC-positivity
• Matrix identities on weighted partial Motzkin paths
• Catalan-like numbers and Stieltjes moment sequences
• Combinatorial proofs of addition formulas
• Combinatorial sums and implicit Riordan arrays
• Sequence characterization of Riordan arrays
• The Riordan group
• A Catalan triangle
• Catalan-like numbers and determinants
• Riordan arrays and combinatorial sums
• Polynomials with real zeros and Pólya frequency sequences
• Production matrices
• Parametric Catalan numbers and Catalan triangles
• Addition formulas for polynomials built on classical combinatorial sequences
• Total positivity of Riordan arrays
• Total positivity of recursive matrices
• Representing polynomials as characteristic polynomials via the Stieltjes transform
• Runs, Slides and Moments
• On Some Alternative Characterizations of Riordan Arrays
• Shift operators defined in the Riordan group and their applications

This page was built for publication: Row polynomial matrices of Riordan arrays