Log-convexity of Aigner-Catalan-Riordan numbers
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Publication:744113
DOI10.1016/j.laa.2014.09.007zbMath1311.15021OpenAlexW2166715732MaRDI QIDQ744113
Publication date: 6 October 2014
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2014.09.007
Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial inequalities (05A20) Miscellaneous inequalities involving matrices (15A45) Matrices of integers (15B36)
Related Items (5)
Hankel determinants of shifted Catalan-like numbers ⋮ Catalan-like numbers and Stieltjes moment sequences ⋮ Row polynomial matrices of Riordan arrays ⋮ Total positivity of recursive matrices ⋮ Riordan arrays and related polynomial sequences
Cites Work
- Log-convexity and strong \(q\)-\(\log\)-convexity for some triangular arrays
- Combinatorial sums through Riordan arrays
- Combinatorics of Riordan arrays with identical \(A\) and \(Z\) sequences
- Log-concavity and LC-positivity
- On unimodality problems in Pascal's triangle
- Sequence characterization of Riordan arrays
- The Riordan group
- Pascal triangles, Catalan numbers and renewal arrays
- Catalan-like numbers and determinants
- Riordan arrays and combinatorial sums
- Polynomials with real zeros and Pólya frequency sequences
- Combinatorics and total positivity
- Parametric Catalan numbers and Catalan triangles
- A unified approach to polynomial sequences with only real zeros
- Enumeration via ballot numbers
- On the log-convexity of combinatorial sequences
- Unimodal, log-concave and Pólya frequency sequences in combinatorics
- On Some Alternative Characterizations of Riordan Arrays
- Motzkin numbers
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