New convolutions for complete and elementary symmetric functions

DOI10.1080/10652469.2016.1233405zbMath1352.05185OpenAlexW2520847746MaRDI QIDQ5506812

Mircea Merca

Publication date: 16 December 2016

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

Full work available at URL: https://doi.org/10.1080/10652469.2016.1233405

zbMATH Keywords

Bernoulli numberssymmetric functionsconvolutionsJacobi-Stirling numbers\(r\)-Whitney numbers

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Symmetric functions and generalizations (05E05) Other combinatorial number theory (11B75)

Related Items (6)

Determinants involving the numbers of the Stirling-type ⋮ An infinite sequence of inequalities involving special values of the Riemann zeta function ⋮ Unnamed Item ⋮ Euler-Riemann zeta function and Chebyshev-Stirling numbers of the first kind ⋮ The \(r\)-Stirling numbers of the first kind in terms of the Möbius function ⋮ Bernoulli numbers and symmetric functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some identities of the \(r\)-Whitney numbers
• A note on the \(r\)-Whitney numbers of Dowling lattices
• A convolution for complete and elementary symmetric functions
• Total positivity properties of Jacobi-Stirling numbers
• \(r\)-Whitney numbers of Dowling lattices
• Jacobi-Stirling polynomials and \(P\)-partitions
• Some applications of the \(r\)-Whitney numbers
• A new formula for the Bernoulli polynomials
• Legendre-Stirling permutations
• The continuing story of zeta
• The Jacobi-Stirling numbers
• A generalization of the symmetry between complete and elementary symmetric functions
• A connection between Jacobi-Stirling numbers and Bernoulli polynomials
• The Legendre-Stirling numbers
• On the asymptotic normality of the Legendre-Stirling numbers of the second kind
• Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression
• Asymptotics of the Chebyshev–Stirling numbers of the first kind
• A note on the Jacobi–Stirling numbers
• Asymptotics of Stirling and Chebyshev-Stirling Numbers of the Second Kind
• Elementary Evaluation of ζ(2n)
• A combinatorial interpretation of the Legendre-Stirling numbers
• Equivalent asymptotic formulas of second kindr-Whitney numbers
• The linear algebra of ther-Whitney matrices

This page was built for publication: New convolutions for complete and elementary symmetric functions