A note on q-Bernoulli numbers and polynomials

DOI10.2991/jnmp.2006.13.3.1zbMath1109.33021arXivmath/0502333OpenAlexW3015226326MaRDI QIDQ3432964

Taekyun Kim

Publication date: 19 April 2007

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502333

zbMATH Keywords

\(q\)-Volkenborn integrationreflection symmetriesBayes' multiple Bernoulli polynomialsconstruction of a \(q\)-Bernoulli polynomials

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (1)

An invariant \(p\)-adic \(q\)-integral on \(\mathbb Z _p\)

Cites Work

• \(q\)-analogue of Riemann's \(\zeta\)-function and \(q\)-Euler numbers
• On Carlitz's \(q\)-Bernoulli numbers
• Multiple sine functions and Selberg zeta functions
• On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
• A note on \(q\)-analogues of Dirichlet series
• The analytic continuation and the asymptotic behaviour of certain multiple zeta-functions. I.
• \(q\)-Riemann zeta function
• On a \(q\)-analogue of the multiple gamma functions
• \(q\)-Bernoulli numbers and polynomials
• Exploring the multiple Changheeq-Bernoulli polynomials
• Reflection Symmetries of q-Bernoulli Polynomials
• On Barnes' multiple zeta and gamma functions
• On Kummer-type congruences for derivatives of Barnes' multiple Bernoulli polynomials

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