A new construction on the \(q\)-Bernoulli polynomials

DOI10.1186/1687-1847-2011-34zbMath1278.11025OpenAlexW2123373859WikidataQ59268548 ScholiaQ59268548MaRDI QIDQ355177

Eun-Jung Moon, Joung-Hee Jin, Sun-Jung Lee, Abdelmejid Bayad, Seong-Hoon Rim

Publication date: 24 July 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2011-34

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)

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Cites Work

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• A new approach to \(q\)-Bernoulli numbers and \(q\)-Bernoulli polynomials related to \(q\)-Bernstein polynomials
• \(q\)-Volkenborn integration
• Analytic continuation of multiple \(q\)-zeta functions and their values at negative integers
• Power series and asymptotic series associated with the \(q\)-analog of the two-variable \(p\)-adic \(L\)-function
• \(q\)-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
• On \(p\)-adic \(q\)-\(L\)-functions and sums of powers
• \(q\)-Bernoulli numbers and polynomials
• ON EXPLICIT FORMULAS OF p-ADIC q-L-FUNCTIONS
• Quantum calculus