A note on the modified \(q\)-Bernoulli numbers and polynomials with weight \(\alpha\)
type: Item
instance of: scholarly article
title: A note on the modified \(q\)-Bernoulli numbers and polynomials with weight \(\alpha\)
zbMATH Open document ID: 1232.11028
DOI: 10.1155/2011/545314
author: Juan-Miguel Gracia
published in: Abstract and Applied Analysis
publication date: 2012-01-16T00:00:00Z
review text: Summary: A systemic study of some families of the modified \(q\)-Bernoulli numbers and polynomials with weight \(\alpha\) is presented by using the \(p\)-adic \(q\)-integration on \(\mathbb Z_p\). The study of these numbers and polynomials yields an interesting \(q\)-analogue related to Bernoulli numbers and polynomials.
Mathematics Subject Classification ID: 11B68
Mathematics Subject Classification ID: 11S80
zbMATH DE Number: 5997807
zbMATH Keywords: modified \(q\)-Bernoulli numbers with weight
zbMATH Keywords: modified \(q\)-Bernoulli polynomials with weight
zbMATH Keywords: \(p\)-adic \(q\)-integration
Wikidata QID: Q58654292
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/545314
OpenAlex ID: W2117988127
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description: scientific article; zbMATH DE number 5997807