Total positivity properties of Jacobi-Stirling numbers
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Publication:408121
DOI10.1016/j.aam.2011.06.008zbMath1237.05007OpenAlexW2007090624MaRDI QIDQ408121
Publication date: 29 March 2012
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aam.2011.06.008
Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Permutations, words, matrices (05A05) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)
Related Items (21)
Fast and accurate algorithms for Jacobi-Stirling matrices ⋮ On a Stirling-Whitney-Riordan triangle ⋮ Loading monotonicity of weighted premiums, and total positivity properties of weight functions ⋮ Some positivities in certain triangular arrays ⋮ Asymptotics of Stirling and Chebyshev-Stirling Numbers of the Second Kind ⋮ \(q\)-log-convexity from linear transformations and polynomials with only real zeros ⋮ Determinants involving the numbers of the Stirling-type ⋮ Positivity properties of Jacobi-Stirling numbers and generalized Ramanujan polynomials ⋮ The cardinal sine function and the Chebyshev-Stirling numbers ⋮ An infinite sequence of inequalities involving special values of the Riemann zeta function ⋮ Analytic combinatorics of coordination numbers of cubic lattices ⋮ Accurate Computations and Applications of Some Classes of Matrices ⋮ Central factorials under the Kontorovich–Lebedev transform of polynomials ⋮ A connection between Jacobi-Stirling numbers and Bernoulli polynomials ⋮ Euler-Riemann zeta function and Chebyshev-Stirling numbers of the first kind ⋮ On total positivity of Catalan-Stieltjes matrices ⋮ Asymptotics of the Chebyshev–Stirling numbers of the first kind ⋮ A qd-type method for computing generalized singular values of BF matrix pairs with sign regularity to high relative accuracy ⋮ New convolutions for complete and elementary symmetric functions ⋮ Total Positivity from the Exponential Riordan Arrays ⋮ On the asymptotic normality of the Legendre-Stirling numbers of the second kind
Cites Work
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- Legendre-Stirling permutations
- Combinatorial interpretations of the Jacobi-Stirling numbers
- Legendre polynomials, Legendre--Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression
- Combinatorics and total positivity
- The Legendre-Stirling numbers
- Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression
- Unimodal, log-concave and Pólya frequency sequences in combinatorics
- A combinatorial interpretation of the Legendre-Stirling numbers
- Totally positive matrices
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