Positivity properties of Jacobi-Stirling numbers and generalized Ramanujan polynomials

DOI10.1016/j.aam.2013.09.004zbMath1281.05011arXiv1309.4237OpenAlexW2076071550MaRDI QIDQ395246

Zhicong Lin, Zeng, Jiang

Publication date: 29 January 2014

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4237

zbMATH Keywords

Stirling numbersLambert \(W\) functionJacobi-Stirling numbersgeneralized Ramanujan polynomialsLegendre-Stirling numberspositivity properties

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Permutations, words, matrices (05A05) Combinatorial inequalities (05A20) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)

Related Items

Trees, forests, and total positivity. I: \(q\)-trees and \(q\)-forests matrices, \(q\)-log-convexity from linear transformations and polynomials with only real zeros, Positivity of Iterated Sequences of Polynomials, Linear transformations preserving the strong \(q\)-log-convexity of polynomials, \(Q\)-total positivity and strong \(q\)-log-convexity for some generalized triangular arrays, Total positivity of some polynomial matrices that enumerate labeled trees and forests. I: Forests of rooted labeled trees, Strong \(q\)-log-convexity of the Eulerian polynomials of Coxeter groups, q-differential equations for q-classical polynomials and q-Jacobi-Stirling numbers, Derivatives of the tree function

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