Note on q-extensions of Euler numbers and polynomials of higher order
| dc.creator | Kim, Taekyun | |
| dc.creator | Jang, Leechae | |
| dc.creator | Ryoo, Cheon-Seoung | |
| dc.date | 2007-10-31 | |
| dc.date.accessioned | 2026-07-07T08:39:41Z | |
| dc.date.available | 2026-07-07T08:39:41Z | |
| dc.description | In [14] Ozden-Simsek-Cangul constructed generating functions of higher-order twisted $(h,q)$-extension of Euler polynomials and numbers, by using $p$-adic q-deformed fermionic integral on $\Bbb Z_p$. By applying their generating functions, they derived the complete sums of products of the twisted $(h,q)$-extension of Euler polynomials and numbers, see[13, 14]. In this paper we cosider the new $q$-extension of Euler numbers and polynomials to be different which is treated by Ozden-Simsek-Cangul. From our $q$-Euler numbers and polynomials we derive some interesting identities and we construct $q$-Euler zeta functions which interpolate the new $q$-Euler numbers and polynomials at a negative integer. Furthermore we study Barnes' type $q$-Euler zeta functions. Finally we will derive the new formula for " sums products of $q$-Euler numbers and polynomials" by using fermionic $p$-adic $q$-integral on $\Bbb Z_p$. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0710.5810 | |
| dc.identifier | http://arxiv.org/abs/0710.5810 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141155 | |
| dc.subject | Number Theory | |
| dc.subject | 11B68, 11S80 | |
| dc.title | Note on q-extensions of Euler numbers and polynomials of higher order | |
| dc.type | text |