On the Symmetric Properties for the Generalized Twisted Bernoulli Polynomials
<p/> <p>We study the symmetry for the generalized twisted Bernoulli polynomials and numbers. We give some interesting identities of the power sums and the generalized twisted Bernoulli polynomials using the symmetric properties for the <inline-formula> <graphic file="1029-2...
Main Authors: | , |
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Format: | Article |
Language: | English |
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SpringerOpen
2009-01-01
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Series: | Journal of Inequalities and Applications |
Online Access: | http://www.journalofinequalitiesandapplications.com/content/2009/164743 |
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author | Kim Taekyun Kim Young-Hee |
author_facet | Kim Taekyun Kim Young-Hee |
author_sort | Kim Taekyun |
collection | DOAJ |
description | <p/> <p>We study the symmetry for the generalized twisted Bernoulli polynomials and numbers. We give some interesting identities of the power sums and the generalized twisted Bernoulli polynomials using the symmetric properties for the <inline-formula> <graphic file="1029-242X-2009-164743-i1.gif"/></inline-formula>-adic invariant integral.</p> |
first_indexed | 2024-12-13T04:35:10Z |
format | Article |
id | doaj.art-17962bff5e024c248a5cb178e53eed5a |
institution | Directory Open Access Journal |
issn | 1025-5834 1029-242X |
language | English |
last_indexed | 2024-12-13T04:35:10Z |
publishDate | 2009-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of Inequalities and Applications |
spelling | doaj.art-17962bff5e024c248a5cb178e53eed5a2022-12-21T23:59:26ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091164743On the Symmetric Properties for the Generalized Twisted Bernoulli PolynomialsKim TaekyunKim Young-Hee<p/> <p>We study the symmetry for the generalized twisted Bernoulli polynomials and numbers. We give some interesting identities of the power sums and the generalized twisted Bernoulli polynomials using the symmetric properties for the <inline-formula> <graphic file="1029-242X-2009-164743-i1.gif"/></inline-formula>-adic invariant integral.</p>http://www.journalofinequalitiesandapplications.com/content/2009/164743 |
spellingShingle | Kim Taekyun Kim Young-Hee On the Symmetric Properties for the Generalized Twisted Bernoulli Polynomials Journal of Inequalities and Applications |
title | On the Symmetric Properties for the Generalized Twisted Bernoulli Polynomials |
title_full | On the Symmetric Properties for the Generalized Twisted Bernoulli Polynomials |
title_fullStr | On the Symmetric Properties for the Generalized Twisted Bernoulli Polynomials |
title_full_unstemmed | On the Symmetric Properties for the Generalized Twisted Bernoulli Polynomials |
title_short | On the Symmetric Properties for the Generalized Twisted Bernoulli Polynomials |
title_sort | on the symmetric properties for the generalized twisted bernoulli polynomials |
url | http://www.journalofinequalitiesandapplications.com/content/2009/164743 |
work_keys_str_mv | AT kimtaekyun onthesymmetricpropertiesforthegeneralizedtwistedbernoullipolynomials AT kimyounghee onthesymmetricpropertiesforthegeneralizedtwistedbernoullipolynomials |