A study on the \(p\)-adic integral representation on \(\mathbb Z_p\) associated with Bernstein and Bernoulli polynomials
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Publication:610910
DOI10.1155/2010/163217zbMath1221.11058OpenAlexW2113375434WikidataQ59253174 ScholiaQ59253174MaRDI QIDQ610910
Won-Joo Kim, Lee-Chae Jang, Yilmaz Simsek
Publication date: 13 December 2010
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2010/163217
Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)
Related Items
Some identities of special numbers and polynomials arising from \(p\)-adic integrals on \(\mathbb{Z}_{p}\) ⋮ On the \(q\)-Euler numbers and polynomials with weight 0 ⋮ Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials ⋮ Some relations between twisted \((h, q)\)-Euler numbers with weight \(a\) and \(q\)-Bernstein polynomials with weight \(a\) ⋮ Analysis of Apostol-Type Numbers and Polynomials with Their Approximations and Asymptotic Behavior ⋮ Some identities on Bernstein polynomials associated with \(q\)-Euler polynomials ⋮ Identities on the Bernoulli and Genocchi numbers and polynomials ⋮ Some identities of Korobov-type polynomials associated with \(p\)-adic integrals on \(\mathbb{Z}_{p}\) ⋮ Some identities on the twisted \((h,q)\)-Genocchi numbers and polynomials associated with \(q\)-Bernstein polynomials
Cites Work
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- On multivariatep-adicq-integrals
- Some identities on the q-Bernstein polynomials, q-Stirling number and q-Bernoulli numbers
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