Some \(q\)-Bernoulli numbers of higher order associated with the \(p\)-adic \(q\)-integrals

zbMath1042.11011MaRDI QIDQ1611430

Taekyun Kim, Seong-Hoon Rim

Publication date: 6 October 2002

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet character\(q\)-Bernoulli polynomials\(p\)-adic \(q\)-integral\(q\)-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)

Related Items (5)

Identities for Korobov-type polynomials arising from functional equations and p-adic integrals ⋮ Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals ⋮ Analysis of Apostol-Type Numbers and Polynomials with Their Approximations and Asymptotic Behavior ⋮ Some certain classes of combinatorial numbers and polynomials attached to Dirichlet characters: their construction by \(p\)-adic integration and applications to probability distribution functions ⋮ Some formulae for the \(q\)-Bernoulli and Euler polynomials of higher order

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