Multivariate Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i1.gif"/></inline-formula>-Adic <inline-formula> <graphic file="1029-242X-2010-579509-i2.gif"/></inline-formula>-Integral on <inline-formula> <graphic file="1029-242X-2010-579509-i3.gif"/></inline-formula> Associated with Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i4.gif"/></inline-formula>-Bernoulli Polynomials and Numbers

Multivariate Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i1.gif"/></inline-formula>-Adic <inline-formula> <graphic file="1029-242X-2010-579509-i2.gif"/></inline-formula>-Integral on <inline-formula> <graphic file="1029-242X-2010-579509-i3.gif"/></inline-formula> Associated with Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i4.gif"/></inline-formula>-Bernoulli Polynomials and Numbers

<p/> <p>Recently, many authors have studied twisted <inline-formula> <graphic file="1029-242X-2010-579509-i5.gif"/></inline-formula>-Bernoulli polynomials by using the <inline-formula> <graphic file="1029-242X-2010-579509-i6.gif"/></in...

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Main Authors: Rim Seog-Hoon, Moon Eun-Jung, Lee Sun-Jung, Jin Jeong-Hee
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/579509
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spelling doaj-5116f9493d2f491aa0f09dab5c17497f2020-11-24T23:31:47ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101579509Multivariate Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i1.gif"/></inline-formula>-Adic <inline-formula> <graphic file="1029-242X-2010-579509-i2.gif"/></inline-formula>-Integral on <inline-formula> <graphic file="1029-242X-2010-579509-i3.gif"/></inline-formula> Associated with Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i4.gif"/></inline-formula>-Bernoulli Polynomials and NumbersRim Seog-HoonMoon Eun-JungLee Sun-JungJin Jeong-Hee<p/> <p>Recently, many authors have studied twisted <inline-formula> <graphic file="1029-242X-2010-579509-i5.gif"/></inline-formula>-Bernoulli polynomials by using the <inline-formula> <graphic file="1029-242X-2010-579509-i6.gif"/></inline-formula>-adic invariant <inline-formula> <graphic file="1029-242X-2010-579509-i7.gif"/></inline-formula>-integral on <inline-formula> <graphic file="1029-242X-2010-579509-i8.gif"/></inline-formula>. In this paper, we define the twisted <inline-formula> <graphic file="1029-242X-2010-579509-i9.gif"/></inline-formula>-adic <inline-formula> <graphic file="1029-242X-2010-579509-i10.gif"/></inline-formula>-integral on <inline-formula> <graphic file="1029-242X-2010-579509-i11.gif"/></inline-formula> and extend our result to the twisted <inline-formula> <graphic file="1029-242X-2010-579509-i12.gif"/></inline-formula>-Bernoulli polynomials and numbers. Finally, we derive some various identities related to the twisted <inline-formula> <graphic file="1029-242X-2010-579509-i13.gif"/></inline-formula>-Bernoulli polynomials.</p>http://www.journalofinequalitiesandapplications.com/content/2010/579509
collection DOAJ
language English
format Article
sources DOAJ
author Rim Seog-Hoon
Moon Eun-Jung
Lee Sun-Jung
Jin Jeong-Hee
spellingShingle Rim Seog-Hoon
Moon Eun-Jung
Lee Sun-Jung
Jin Jeong-Hee
Multivariate Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i1.gif"/></inline-formula>-Adic <inline-formula> <graphic file="1029-242X-2010-579509-i2.gif"/></inline-formula>-Integral on <inline-formula> <graphic file="1029-242X-2010-579509-i3.gif"/></inline-formula> Associated with Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i4.gif"/></inline-formula>-Bernoulli Polynomials and Numbers
Journal of Inequalities and Applications
author_facet Rim Seog-Hoon
Moon Eun-Jung
Lee Sun-Jung
Jin Jeong-Hee
author_sort Rim Seog-Hoon
title Multivariate Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i1.gif"/></inline-formula>-Adic <inline-formula> <graphic file="1029-242X-2010-579509-i2.gif"/></inline-formula>-Integral on <inline-formula> <graphic file="1029-242X-2010-579509-i3.gif"/></inline-formula> Associated with Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i4.gif"/></inline-formula>-Bernoulli Polynomials and Numbers
title_short Multivariate Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i1.gif"/></inline-formula>-Adic <inline-formula> <graphic file="1029-242X-2010-579509-i2.gif"/></inline-formula>-Integral on <inline-formula> <graphic file="1029-242X-2010-579509-i3.gif"/></inline-formula> Associated with Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i4.gif"/></inline-formula>-Bernoulli Polynomials and Numbers
title_full Multivariate Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i1.gif"/></inline-formula>-Adic <inline-formula> <graphic file="1029-242X-2010-579509-i2.gif"/></inline-formula>-Integral on <inline-formula> <graphic file="1029-242X-2010-579509-i3.gif"/></inline-formula> Associated with Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i4.gif"/></inline-formula>-Bernoulli Polynomials and Numbers
title_fullStr Multivariate Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i1.gif"/></inline-formula>-Adic <inline-formula> <graphic file="1029-242X-2010-579509-i2.gif"/></inline-formula>-Integral on <inline-formula> <graphic file="1029-242X-2010-579509-i3.gif"/></inline-formula> Associated with Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i4.gif"/></inline-formula>-Bernoulli Polynomials and Numbers
title_full_unstemmed Multivariate Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i1.gif"/></inline-formula>-Adic <inline-formula> <graphic file="1029-242X-2010-579509-i2.gif"/></inline-formula>-Integral on <inline-formula> <graphic file="1029-242X-2010-579509-i3.gif"/></inline-formula> Associated with Twisted <inline-formula> <graphic file="1029-242X-2010-579509-i4.gif"/></inline-formula>-Bernoulli Polynomials and Numbers
title_sort multivariate twisted <inline-formula> <graphic file="1029-242x-2010-579509-i1.gif"/></inline-formula>-adic <inline-formula> <graphic file="1029-242x-2010-579509-i2.gif"/></inline-formula>-integral on <inline-formula> <graphic file="1029-242x-2010-579509-i3.gif"/></inline-formula> associated with twisted <inline-formula> <graphic file="1029-242x-2010-579509-i4.gif"/></inline-formula>-bernoulli polynomials and numbers
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description <p/> <p>Recently, many authors have studied twisted <inline-formula> <graphic file="1029-242X-2010-579509-i5.gif"/></inline-formula>-Bernoulli polynomials by using the <inline-formula> <graphic file="1029-242X-2010-579509-i6.gif"/></inline-formula>-adic invariant <inline-formula> <graphic file="1029-242X-2010-579509-i7.gif"/></inline-formula>-integral on <inline-formula> <graphic file="1029-242X-2010-579509-i8.gif"/></inline-formula>. In this paper, we define the twisted <inline-formula> <graphic file="1029-242X-2010-579509-i9.gif"/></inline-formula>-adic <inline-formula> <graphic file="1029-242X-2010-579509-i10.gif"/></inline-formula>-integral on <inline-formula> <graphic file="1029-242X-2010-579509-i11.gif"/></inline-formula> and extend our result to the twisted <inline-formula> <graphic file="1029-242X-2010-579509-i12.gif"/></inline-formula>-Bernoulli polynomials and numbers. Finally, we derive some various identities related to the twisted <inline-formula> <graphic file="1029-242X-2010-579509-i13.gif"/></inline-formula>-Bernoulli polynomials.</p>
url http://www.journalofinequalitiesandapplications.com/content/2010/579509
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