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

• 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
• ISSN: 1025-5834; 1029-242X

<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>