Journal of Nonlinear Mathematical Physics

Volume 13, Issue 3, August 2006, Pages 315 - 322

A note on q-Bernoulli numbers and polynomials

Authors
Taekyun KIM, A S HEGAZI, M MANSOUR
Corresponding Author
Taekyun KIM
Available Online 5 November 2006.
DOI
https://doi.org/10.2991/jnmp.2006.13.3.1How to use a DOI?
Keywords
Bernoulli, polynomials, Barnes
Abstract
Recently, B. A. Kupershmidt have constructed a reflection symmetries of q-Bernoulli polynomials (see [9]). In this paper we give another construction of a q-Bernoulli polynomials, which form Barnes' multiple Bernoulli polynomials at q = 1, cf. [1, 13,14]. By using q-Volkenborn integration, we can also investigate the properties of the reflection symmetries of these' q-Bernoulli polynomials.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
13 - 3
Pages
315 - 322
Publication Date
2006/11
ISSN
1402-9251
DOI
https://doi.org/10.2991/jnmp.2006.13.3.1How 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  - Taekyun KIM
AU  - A S HEGAZI
AU  - M MANSOUR
PY  - 2006
DA  - 2006/11
TI  - A note on q-Bernoulli numbers and polynomials
JO  - Journal of Nonlinear Mathematical Physics
SP  - 315
EP  - 322
VL  - 13
IS  - 3
SN  - 1402-9251
UR  - https://doi.org/10.2991/jnmp.2006.13.3.1
DO  - https://doi.org/10.2991/jnmp.2006.13.3.1
ID  - KIM2006
ER  -