$q$-Volkenborn Integration and Its Applications
| dc.creator | Kim, Taekyun | |
| dc.date | 2005-10-25 | |
| dc.date.accessioned | 2026-07-07T06:47:52Z | |
| dc.date.available | 2026-07-07T06:47:52Z | |
| dc.description | 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. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0510524 | |
| dc.identifier | http://arxiv.org/abs/math/0510524 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103795 | |
| dc.subject | Number Theory | |
| dc.subject | 11B68, 11S40 | |
| dc.title | $q$-Volkenborn Integration and Its Applications | |
| dc.type | text |