Journal of Nonlinear Mathematical Physics

Volume 14, Issue 1, February 2007, Pages 8 - 14

An invariant p-adic q-integral associated with q-Euler numbers and polynomials

Authors
Ismail Naci Cangül, Veli Kurt, Yilmaz Simsek, Hong Kyung Pak, Seog-Hoon Rim
Corresponding Author
Ismail Naci Cangül
Received 18 January 2006, Accepted 8 July 2006, Available Online 1 February 2007.
DOI
https://doi.org/10.2991/jnmp.2007.14.1.2How to use a DOI?
Abstract
The purpose of this paper is to consider q-Euler numbers and polynomials which are q-extensions of ordinary Euler numbers and polynomials by the computations of the p-adic q-integrals due to T. Kim, cf. [1, 3, 6, 12], and to derive the "complete sums for q-Euler polynomials" which are evaluated by using multivariate p-adic q-integrals. These sums help us to study the relationships between p-adic q-integrals and nonarchimedean combinatorial analysis.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
14 - 1
Pages
8 - 14
Publication Date
2007/02
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2007.14.1.2How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Ismail Naci Cangül
AU  - Veli Kurt
AU  - Yilmaz Simsek
AU  - Hong Kyung Pak
AU  - Seog-Hoon Rim
PY  - 2007
DA  - 2007/02
TI  - An invariant p-adic q-integral associated with q-Euler numbers and polynomials
JO  - Journal of Nonlinear Mathematical Physics
SP  - 8
EP  - 14
VL  - 14
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2007.14.1.2
DO  - https://doi.org/10.2991/jnmp.2007.14.1.2
ID  - Cangül2007
ER  -