A note on Carlitz \(q\)-Bernoulli numbers and polynomials

DOI10.1186/1687-1847-2012-44zbMath1288.11017OpenAlexW2026051243WikidataQ59270755 ScholiaQ59270755MaRDI QIDQ2448013

Daeyeoul Kim, Min-Soo Kim

Publication date: 29 April 2014

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-44

zbMATH Keywords

Carlitz \(q\)-Bernoulli numbersCarlitz \(q\)-Bernoulli polynomialsDirichlet \(q\)-\(L\)-functions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Zeta functions and (L)-functions (11S40)

Related Items (4)

Existence of solutions to fourth-order differential equations with deviating arguments ⋮ Symmetric identities for Carlitz's q-Bernoulli numbers and polynomials ⋮ New results for perturbed second-order impulsive differential equation on the half-line ⋮ New results on the \(q\)-generalized Bernoulli polynomials of level \(m\)

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