Note on the generalization of the higher order q-Genocchi numbers and q-Euler numbers
| dc.creator | Kim, Taekyun | |
| dc.creator | Kim, Young-hee | |
| dc.creator | Hwang, Kyoung-won | |
| dc.date | 2009-01-13 | |
| dc.date.accessioned | 2026-07-07T12:28:53Z | |
| dc.date.available | 2026-07-07T12:28:53Z | |
| dc.description | In this paper we present the generalization of the higher order q-Euler numbers and q-Genocchi numbers and w-Genocchi numbers and polynomials of high order using the multivariate fermionic p-adic integral on Zp. We have the interpolation functions of these numbers and polynomials. We obtain the distribution relations for q-extensions of w-Euler and w-Genocchi polynomials. We also have the interesting relation for q-extensions of these polynomials. We define (h, q)-extensions of w-Euler and w-Genocchi polynomials of high order. We have the interpolation functions for (h, q)-extensions of these polynomials. Moreover, we obtain some meaningful results of (h, q)-extensions of w-Euler and w-Genocchi polynomials. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0901.1697 | |
| dc.identifier | http://arxiv.org/abs/0901.1697 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215694 | |
| dc.subject | Number Theory | |
| dc.subject | 11S80;11B68 | |
| dc.title | Note on the generalization of the higher order q-Genocchi numbers and q-Euler numbers | |
| dc.type | text |