A note on the Jacobi–Stirling numbers

DOI10.1080/10652469.2013.838756zbMath1280.05133OpenAlexW2057226692MaRDI QIDQ2874117

Mircea Merca

Publication date: 28 January 2014

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2013.838756

zbMATH Keywords

Jacobi-Stirling numberLegendre-Stirling number

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Symmetric functions and generalizations (05E05)

Related Items (10)

Determinants involving the numbers of the Stirling-type ⋮ Connections between central factorial numbers and Bernoulli polynomials ⋮ The cardinal sine function and the Chebyshev-Stirling numbers ⋮ New family of Jacobi-Stirling numbers ⋮ An infinite sequence of inequalities involving special values of the Riemann zeta function ⋮ A connection between Jacobi-Stirling numbers and Bernoulli polynomials ⋮ Euler-Riemann zeta function and Chebyshev-Stirling numbers of the first kind ⋮ Asymptotics of the Chebyshev–Stirling numbers of the first kind ⋮ New convolutions for complete and elementary symmetric functions ⋮ On the asymptotic normality of the Legendre-Stirling numbers of the second kind

Cites Work

• Unnamed Item
• Jacobi-Stirling polynomials and \(P\)-partitions
• The Jacobi-Stirling numbers
• Legendre polynomials, Legendre--Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression
• The Legendre-Stirling numbers
• Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression
• A combinatorial interpretation of the Legendre-Stirling numbers

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