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2005
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$q$-Volkenborn Integration and Its Applications
Taekyun Kim
Abstrak
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 $\Bbb Z_p$, 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. This paper is the version of the preprint of my paper to publish in the special issues as the preprint part of this proceedings.
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Taekyun Kim
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- Tahun Terbit
- 2005
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- en
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- Semantic Scholar
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