Volume 14, Issue 1, February 2007, Pages 15 - 27
q-Euler numbers and polynomials associated with p-adic q-integrals
Received 23 June 2006, Accepted 22 August 2006, Available Online 1 February 2007.
- https://doi.org/10.2991/jnmp.2007.14.1.3How to use a DOI?
- 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 Zp, 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.
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- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - JOUR AU - Taekyun Kim PY - 2007 DA - 2007/02 TI - q-Euler numbers and polynomials associated with p-adic q-integrals JO - Journal of Nonlinear Mathematical Physics SP - 15 EP - 27 VL - 14 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2007.14.1.3 DO - https://doi.org/10.2991/jnmp.2007.14.1.3 ID - Kim2007 ER -