Some Identities on the Generalized <inline-formula> <graphic file="1029-242X-2010-575240-i1.gif"/></inline-formula>-Bernoulli Numbers and Polynomials Associated with <inline-formula> <graphic file="1029-242X-2010-575240-i2.gif"/></inline-formula>-Volkenborn Integrals
<p/> <p>We give some interesting equation of <inline-formula> <graphic file="1029-242X-2010-575240-i3.gif"/></inline-formula>-adic <inline-formula> <graphic file="1029-242X-2010-575240-i4.gif"/></inline-formula>-integrals on <inl...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/575240 |
| Summary: | <p/> <p>We give some interesting equation of <inline-formula> <graphic file="1029-242X-2010-575240-i3.gif"/></inline-formula>-adic <inline-formula> <graphic file="1029-242X-2010-575240-i4.gif"/></inline-formula>-integrals on <inline-formula> <graphic file="1029-242X-2010-575240-i5.gif"/></inline-formula>. From those <inline-formula> <graphic file="1029-242X-2010-575240-i6.gif"/></inline-formula>-adic <inline-formula> <graphic file="1029-242X-2010-575240-i7.gif"/></inline-formula>-integrals, we present a systemic study of some families of extended Carlitz type <inline-formula> <graphic file="1029-242X-2010-575240-i8.gif"/></inline-formula>-Bernoulli numbers and polynomials in <inline-formula> <graphic file="1029-242X-2010-575240-i9.gif"/></inline-formula>-adic number field.</p> |
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| ISSN: | 1025-5834 1029-242X |