Recurrence relations for the linear transformation preserving the strong \(q\)-log-convexity

zbMath1344.05024MaRDI QIDQ311577

Lily Li Liu, Ya-Nan Li

Publication date: 13 September 2016

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i3p44

zbMATH Keywords

recurrence relationStirling numberslinear transformationsWhitney numbersstrong \(q\)-log-convexity

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial inequalities (05A20) Recurrences (11B37)

Related Items (3)

\(q\)-log-convexity from linear transformations and polynomials with only real zeros ⋮ Some polynomials related to Dowling lattices and \(\mathrm{x}\)-Stieltjes moment sequences ⋮ Asymptotic normality of coefficients of some polynomials related to Dowling lattices

Cites Work

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• Log-convexity and strong \(q\)-\(\log\)-convexity for some triangular arrays
• \(r\)-Whitney numbers of Dowling lattices
• Some results on Whitney numbers of Dowling lattices
• The \(r\)-Stirling numbers
• Linear transformations preserving the strong \(q\)-log-convexity of polynomials
• Log-concavity of Whitney numbers of Dowling lattices
• On some numbers related to Whitney numbers of Dowling lattices
• Polynomials with real zeros and Pólya frequency sequences
• A unified approach to polynomial sequences with only real zeros
• On the log-convexity of combinatorial sequences
• A class of geometric lattices based on finite groups
• A note on concavity properties of triangular arrays of numbers
• Recurrence Relations for Strongly q-Log-Convex Polynomials
• The $r$-Bell numbers
• Unimodal, log-concave and Pólya frequency sequences in combinatorics

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