Some \(q\)-Bernoulli numbers of higher order associated with the \(p\)-adic \(q\)-integrals
type: Item
instance of: scholarly article
title: Some \(q\)-Bernoulli numbers of higher order associated with the \(p\)-adic \(q\)-integrals
zbMATH Open document ID: 1042.11011
author: Taekyun Kim
author: Seog-Hoon Rim
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2002-10-06T00:00:00Z
review text: The authors define generalized higher \(q\)-Bernoulli numbers associated with Dirichlet characters. The construction is based on the notion of the \(p\)-adic \(q\)-integral of the Volkenborn type introduced by \textit{T. Kim} [J. Number Theory 76, 320--329 (1999; Zbl 0941.11048)]. An expression for generalized higher \(q\)-Bernoulli numbers via lower ones is found.
Mathematics Subject Classification ID: 11B68
Mathematics Subject Classification ID: 11S80
zbMATH DE Number: 1785885
zbMATH Keywords: \(q\)-Bernoulli numbers
zbMATH Keywords: \(q\)-Bernoulli polynomials
zbMATH Keywords: \(p\)-adic \(q\)-integral
zbMATH Keywords: Dirichlet character
reviewed by: Anatoly N. Kochubei
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1785885