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Some Identities on the Generalized q -Bernoulli Numbers and Polynomials Associated with q -Volkenborn Integrals

We give some interesting equation of p -adic q -integrals on [subscript]...p[/subscript] . From those p -adic q -integrals, we present a systemic study of some families of extended Carlitz type q -Bernoulli numbers and polynomials in p -adic number field.

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Bibliographic Details
Published in:Journal of inequalities and applications 2010-01, Vol.2010
Main Authors: Kim, T, Choi, J, Lee, B, Ryoo, C S
Format: Article
Language:English
Subjects:
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Summary:We give some interesting equation of p -adic q -integrals on [subscript]...p[/subscript] . From those p -adic q -integrals, we present a systemic study of some families of extended Carlitz type q -Bernoulli numbers and polynomials in p -adic number field.
ISSN:1025-5834
1029-242X
DOI:10.1155/2010/575240