Some new identities on the twisted Carlitz's \(q\)-Bernoulli numbers and \(q\)-Bernstein polynomials

DOI10.1186/1029-242X-2011-52zbMath1275.11040OpenAlexW2118256326WikidataQ59268843 ScholiaQ59268843MaRDI QIDQ357386

Taekyun Kim, Byungje Lee, Lee-Chae Jang, Young-Hee Kim

Publication date: 30 July 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2011-52

zbMATH Keywords

identities\(q\)-Bernstein polynomials\(p\)-adic \(q\)-integral\(q\)-Bernoulli numberstwisted Carlitz \(q\)-Bernoulli numbers

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)

Cites Work

• Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials
• On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
• \(q\)-Bernoulli numbers and polynomials

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