Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials

By the properties of p-adic invariant integral on ℤp, we establish various identities concerning the generalized Bernoulli numbers and polynomials. From the symmetric properties of p-adic invariant integral on ℤp, we give some interesting relationship between the power sums and the generalized Berno...

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Main Authors: Taekyun Kim, Seog-Hoon Rim, Byungje Lee
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2009/848943
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author Taekyun Kim
Seog-Hoon Rim
Byungje Lee
author_facet Taekyun Kim
Seog-Hoon Rim
Byungje Lee
author_sort Taekyun Kim
collection DOAJ
description By the properties of p-adic invariant integral on ℤp, we establish various identities concerning the generalized Bernoulli numbers and polynomials. From the symmetric properties of p-adic invariant integral on ℤp, we give some interesting relationship between the power sums and the generalized Bernoulli polynomials.
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institution Kabale University
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spelling doaj-art-823da9d97fba4946a2c5db7d098332112025-02-03T05:54:12ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/848943848943Some Identities of Symmetry for the Generalized Bernoulli Numbers and PolynomialsTaekyun Kim0Seog-Hoon Rim1Byungje Lee2Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, South KoreaDepartment of Mathematics Education, Kyungpook National University, Taegu 702-701, South KoreaDepartment of Wireless Communications Engineering, Kwangwoon University, Seoul 139-701, South KoreaBy the properties of p-adic invariant integral on ℤp, we establish various identities concerning the generalized Bernoulli numbers and polynomials. From the symmetric properties of p-adic invariant integral on ℤp, we give some interesting relationship between the power sums and the generalized Bernoulli polynomials.http://dx.doi.org/10.1155/2009/848943
spellingShingle Taekyun Kim
Seog-Hoon Rim
Byungje Lee
Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials
Abstract and Applied Analysis
title Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials
title_full Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials
title_fullStr Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials
title_full_unstemmed Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials
title_short Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials
title_sort some identities of symmetry for the generalized bernoulli numbers and polynomials
url http://dx.doi.org/10.1155/2009/848943
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AT byungjelee someidentitiesofsymmetryforthegeneralizedbernoullinumbersandpolynomials