Symmetry properties of higher-order Bernoulli polynomials
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Publication:1034121
DOI10.1155/2009/318639zbMath1241.11019OpenAlexW2149528339WikidataQ59220313 ScholiaQ59220313MaRDI QIDQ1034121
Kyung-Won Hwang, Young-Hee Kim, Taekyun Kim
Publication date: 11 November 2009
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2009/318639
\(q\)-Volkenborn integralBernoulli polynomials of higher ordermultivariate \(p\)-adic invariant integral
Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)
Related Items (4)
A note on degenerate Bernoulli numbers and polynomials associated with \(p\)-adic invariant integral on \(\mathbb{Z}_p\) ⋮ Quadratic symmetry of modified \(q\)-Euler polynomials ⋮ Elementary proof of Yu. V. Nesterenko expansion of the number zeta(3) in continued fraction ⋮ Symmetric identities of Hermite-Bernoulli polynomials and Hermite-Bernoulli numbers attached to a Dirichlet character \(\chi\)
Cites Work
- \(q\)-Volkenborn integration
- Non-Archimedean \(q\)-integrals associated with multiple Changhee \(q\)-Bernoulli polynomials
- Analytic continuation of multiple \(q\)-zeta functions and their values at negative integers
- On \(p\)-adic twisted \(q\)-\(L\)-functions related to generalized twisted Bernoulli numbers
- A new extension of \(q\)-Euler numbers and polynomials related to their interpolation functions
- \(q\)-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
- Symmetry of power sum polynomials and multivariate fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\)
- On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
- Symmetryp-adic invariant integral on ℤpfor Bernoulli and Euler polynomials
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