Legendre-Stirling permutations
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Publication:709245
DOI10.1016/j.ejc.2010.03.005zbMath1213.05005OpenAlexW2000971050MaRDI QIDQ709245
Publication date: 18 October 2010
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejc.2010.03.005
Related Items (23)
Some positivities in certain triangular arrays ⋮ Asymptotics of Stirling and Chebyshev-Stirling Numbers of the Second Kind ⋮ Quasi-Stirling polynomials on multisets ⋮ Positivity properties of Jacobi-Stirling numbers and generalized Ramanujan polynomials ⋮ A unified approach to multivariate polynomial sequences with real stability ⋮ Total positivity properties of Jacobi-Stirling numbers ⋮ Stable multivariate Eulerian polynomials and generalized Stirling permutations ⋮ Several improved asymptotic normality criteria and their applications to graph polynomials ⋮ Jacobi-Stirling polynomials and \(P\)-partitions ⋮ Stirling permutations on multisets ⋮ On certain combinatorial expansions of the Legendre-Stirling numbers ⋮ Glazman-Krein-Naimark theory, left-definite theory and the square of the Legendre polynomials differential operator ⋮ A connection between Jacobi-Stirling numbers and Bernoulli polynomials ⋮ Classical and Sobolev orthogonality of the nonclassical Jacobi polynomials with parameters \(\alpha =\beta =-1\) ⋮ The Legendre-Stirling numbers ⋮ An asymptotic distribution theory for Eulerian recurrences with applications ⋮ q-differential equations for q-classical polynomials and q-Jacobi-Stirling numbers ⋮ On Jacobi polynomials \(\mathscr{P}_k^{(\alpha,\beta)}\) and coefficients \(c_j^{\ell}(\alpha,\beta)\) \((k\geq 0, \ell =5,6; 1\leq j\leq \ell; \alpha,\beta > -1)\) ⋮ Context-Free Grammars and Stable Multivariate Polynomials over Stirling Permutations ⋮ \(\gamma\)-positivity and partial \(\gamma\)-positivity of descent-type polynomials ⋮ New convolutions for complete and elementary symmetric functions ⋮ The asymptotic normality of adjacency coefficients of bipartite graphs and skew-adjacency coefficients of oriented graphs ⋮ On the asymptotic normality of the Legendre-Stirling numbers of the second kind
Cites Work
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- The blossoming of Schröder's fourth problem
- Stirling polynomials
- Legendre polynomials, Legendre--Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression
- Central and local limit theorems applied to asymptotic enumeration
- Two Notes on Notation
- Real Zeros and Normal Distribution for Statistics on Stirling Permutations Defined by Gessel and Stanley
- A combinatorial interpretation of the Legendre-Stirling numbers
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