A new connection betweenr-Whitney numbers and Bernoulli polynomials

DOI10.1080/10652469.2014.940580zbMath1379.11024OpenAlexW2045326500MaRDI QIDQ2929832

Mircea Merca

Publication date: 14 November 2014

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

Full work available at URL: https://doi.org/10.1080/10652469.2014.940580

zbMATH Keywords

convolutionBernoulli polynomials\(r\)-Whitney numbers

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Symmetric functions and generalizations (05E05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (13)

Some identities of the \(r\)-Whitney numbers ⋮ Determinants involving the numbers of the Stirling-type ⋮ Several formulas for Bernoulli numbers and polynomials ⋮ Higher order generalized geometric polynomials ⋮ A q-analogue of α־-Whitney numbers ⋮ A connection between Jacobi-Stirling numbers and Bernoulli polynomials ⋮ Some polynomials associated with the \(r\)-Whitney numbers ⋮ The \(r\)-Stirling numbers of the first kind in terms of the Möbius function ⋮ New definitions of the generalized Stirling numbers ⋮ Equivalent asymptotic formulas of second kindr-Whitney numbers ⋮ The linear algebra of ther-Whitney matrices ⋮ Some identities related to ther-Whitney numbers ⋮ New convolutions for complete and elementary symmetric functions

Cites Work

• Unnamed Item
• A note on the \(r\)-Whitney numbers of Dowling lattices
• A convolution for complete and elementary symmetric functions
• \(r\)-Whitney numbers of Dowling lattices
• A new formula for the Bernoulli polynomials
• A New Approach to Bernoulli Polynomials

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