On the q-Extensions of the Bernoulli and Euler Numbers, Related Identities and Lerch Zeta Function
| dc.creator | Kim, Taekyun | |
| dc.creator | Kim, Younghee | |
| dc.creator | Hwang, kyoungwon | |
| dc.date | 2009-01-02 | |
| dc.date.accessioned | 2026-07-07T12:23:48Z | |
| dc.date.available | 2026-07-07T12:23:48Z | |
| dc.description | Recently, $λ$-Bernoulli and $λ$-Euler numbers are studied in [5, 10]. The purpose of this paper is to present a systematic study of some families of the $q$-extensions of the $λ$-Bernoulli and the $λ$-Euler numbers by using the bosonic $p$-adic $q$-integral and the fermionic $p$-adic $q$-integral. The investigation of these $λ$-$q$-Bernoulli and $λ$-$q$-Euler numbers leads to interesting identities related to these objects. The results of the present paper cover earlier results concerning $q$-Bernoulli and $q$-Euler numbers. By using derivative operator to the generating functions of $λ$-$q$-Bernoulli and $λ$-$q$-Euler numbers, we give the $q$-extensions of Lerch zeta function. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/0901.0249 | |
| dc.identifier | http://arxiv.org/abs/0901.0249 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214120 | |
| dc.subject | Number Theory | |
| dc.subject | 11B68;11S80 | |
| dc.title | On the q-Extensions of the Bernoulli and Euler Numbers, Related Identities and Lerch Zeta Function | |
| dc.type | text |