A connection between Jacobi-Stirling numbers and Bernoulli polynomials

DOI10.1016/j.jnt.2014.12.024zbMath1307.11028OpenAlexW1973856258WikidataQ114157490 ScholiaQ114157490MaRDI QIDQ2257324

Mircea Merca

Publication date: 24 February 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.12.024

zbMATH Keywords

Bernoulli polynomialsJacobi-Stirling numbersLegendre-Stirling numbersChebyshev-Stirling numbers

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (10)

Continued fractions and \(q\)-series generating functions for the generalized sum-of-divisors functions ⋮ Several formulas for Bernoulli numbers and polynomials ⋮ The cardinal sine function and the Chebyshev-Stirling numbers ⋮ An infinite sequence of inequalities involving special values of the Riemann zeta function ⋮ Higher order generalized geometric polynomials ⋮ On certain combinatorial expansions of the Legendre-Stirling numbers ⋮ Euler-Riemann zeta function and Chebyshev-Stirling numbers of the first kind ⋮ Asymptotics of the Chebyshev–Stirling numbers of the first kind ⋮ Unnamed Item ⋮ New convolutions for complete and elementary symmetric functions

Cites Work

• Total positivity properties of Jacobi-Stirling numbers
• Combinatorial interpretations of particular evaluations of complete and elementary symmetric functions
• Jacobi-Stirling polynomials and \(P\)-partitions
• Legendre-Stirling permutations
• Convolution identities and lacunary recurrences for Bernoulli numbers
• Combinatorial interpretations of the Jacobi-Stirling numbers
• 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 note on the Jacobi–Stirling numbers
• Asymptotics of Stirling and Chebyshev-Stirling Numbers of the Second Kind
• A New Approach to Bernoulli Polynomials
• A combinatorial interpretation of the Legendre-Stirling numbers
• Unnamed Item

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