Analytic properties of combinatorial triangles related to Motzkin numbers
type: Item
instance of: scholarly article
title: Analytic properties of combinatorial triangles related to Motzkin numbers
zbMATH Open document ID: 1448.05214
author: Xi Chen
author: Yi Wang
author: Sai-Nan Zheng
published in: Discrete Mathematics
publication date: 2020-10-08T00:00:00Z
Mathematics Subject Classification ID: 05E10
zbMATH DE Number: 7257954
zbMATH Keywords: Motzkin number
zbMATH Keywords: total positivity
zbMATH Keywords: polynomial with only real roots
zbMATH Keywords: asymptotic normality
zbMATH Keywords: Riordan array
describes a project that uses: OEIS
MaRDI profile type: Publication
full work available at URL: j.disc.2020.112133
OpenAlex ID: W3082065513
cites work: Motzkin numbers
cites work: Central and local limit theorems applied to asymptotic enumeration
cites work: Some \(q\)-analogues of the Schröder numbers arising from combinatorial statistics on lattice paths
cites work: Combinatorics and total positivity
cites work: Q4381537
cites work: Q2949147
cites work: Asymptotic properties of eulerian numbers
cites work: Total positivity of recursive matrices
cites work: Total positivity of Riordan arrays
cites work: Asymptotic normality in t-stack sortable permutations
cites work: Notes on theq-colored Motzkin numbers and Schröder numbers
cites work: Proof of a positivity conjecture on Schur functions
cites work: Notes on the total positivity of Riordan arrays
cites work: Combinatorics of Riordan arrays with identical \(A\) and \(Z\) sequences
cites work: Logarithmic behavior of some combinatorial sequences
cites work: Standard Young tableaux and colored Motzkin paths
cites work: The fundamental limit theorems in probability
cites work: A classic proof of a recurrence for a very classical sequence
cites work: Stirling Behavior is Asymptotically Normal
cites work: \(A\)-sequences, \(Z\)-sequence, and \(B\)-sequences of Riordan matrices
cites work: An asymptotic distribution theory for Eulerian recurrences with applications
cites work: Q5624248
cites work: A unified approach to polynomial sequences with only real zeros
cites work: Q3651574
cites work: The Riordan group
cites work: Q4443440
cites work: Q4236280
cites work: Bijective recurrences for Motzkin paths
cites work: The Narayana distribution
cites work: Congruences involving generalized central trinomial coefficients
cites work: Total positivity of Narayana matrices
cites work: Q5246235
DOI: 10.1016/J.DISC.2020.112133
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description: scientific article; zbMATH DE number 7257954