title: |
q-Euler numbers and polynomials associated with p-adic q-integrals |
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publication: |
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| volume-issue: | 14 - 1 | |
| pages: | 15 - 27 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2007.14.1.3 (how to use a DOI) | |
author(s): |
Taekyun KIM |
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publication date: |
February 2007 |
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abstract: |
The main purpose of this paper is to present a systemic study of some families of
multiple q-Euler numbers and polynomials. In particular, by using the q-Volkenborn
integration on Zp, we construct p-adic q-Euler numbers and polynomials of higher
order. We also define new generating functions of multiple q-Euler numbers and
polynomials. Furthermore, we construct Euler q-Zeta function. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |