Analytic Continuation of q-Euler numbers and polynomials
| dc.creator | Kim, T. | |
| dc.date | 2008-01-03 | |
| dc.date.accessioned | 2026-07-07T08:52:18Z | |
| dc.date.available | 2026-07-07T08:52:18Z | |
| dc.description | In this paper we study that the $q$-Euler numbers and polynomials are analytically continued to $E_q(s)$. A new formula for the Euler's $q$-Zeta function $ζ_{E,q}(s)$ in terms of nested series of $ζ_{E,q}(n)$ is derived. Finally we introduce the new concept of the dynamics of analytically continued $q$-Euler numbers and polynomials. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/0801.0480 | |
| dc.identifier | http://arxiv.org/abs/0801.0480 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145233 | |
| dc.subject | Number Theory | |
| dc.subject | 11B68;11S80 | |
| dc.title | Analytic Continuation of q-Euler numbers and polynomials | |
| dc.type | text |