Some new identities on the Bernoulli and Euler numbers
type: Item
instance of: scholarly article
title: Some new identities on the Bernoulli and Euler numbers
zbMATH Open document ID: 1248.11017
DOI: 10.1155/2011/856132
author: Dae San Kim
author: Sang-Hun Lee
author: Dmitry V. Dolgy
author: Taekyun Kim
author: Seog-Hoon Rim
published in: Discrete Dynamics in Nature and Society
publication date: 2012-03-13T00:00:00Z
review text: Summary: We give some new identities on the Bernoulli and Euler numbers by using the bosonic \(p\)-adic integral on \(\mathbb Z_p\) and reflection symmetric properties of Bernoulli and Euler polynomials.
Mathematics Subject Classification ID: 11B68
Mathematics Subject Classification ID: 11S40
Mathematics Subject Classification ID: 11S80
zbMATH DE Number: 6014520
zbMATH Keywords: Bernoulli numbers
zbMATH Keywords: Euler numbers
zbMATH Keywords: bosonic \(p\)-adic integral
Wikidata QID: Q58655554
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/856132
OpenAlex ID: W2036237782
cites work: Symmetryp-adic invariant integral on ℤpfor Bernoulli and Euler polynomials
cites work: Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials
cites work: Q3003992
cites work: Q4470962
cites work: Q4470960
cites work: Q3606438
cites work: Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
cites work: Euler numbers and polynomials associated with zeta functions
cites work: Note on the Euler Numbers and Polynomials
cites work: ON EXPLICIT FORMULAS OF p-ADIC q-L-FUNCTIONS
cites work: Symmetry of power sum polynomials and multivariate fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\)
cites work: \(q\)-Volkenborn integration
cites work: A congruence of generalized Bernoulli number for the character of the first kind
cites work: Q3622741
cites work: Q3582408
cites work: Q3004014
cites work: Q3514105
description: scientific article; zbMATH DE number 6014520