Journal of Nonlinear Mathematical Physics

Volume 13, Issue 1, February 2006, Pages 9 - 18

A Note on q-Bernoulli Numbers and Polynomials

Authors
A S HEGAZI, M MANSOUR
Corresponding Author
A S HEGAZI
Available Online 1 February 2006.
DOI
https://doi.org/10.2991/jnmp.2006.13.1.2How to use a DOI?
Abstract
In this paper, we define a new q-analogy of the Bernoulli polynomials and the Bernoulli numbers and we deduced some important relations of them. Also, we dduced a q-analogy of the Euler-Maclaurin formulas. Finally, we present a relation between the q-gamma function and the q-Bernoulli polynomials.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
13 - 1
Pages
9 - 18
Publication Date
2006/02
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2006.13.1.2How 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  - A S HEGAZI
AU  - M MANSOUR
PY  - 2006
DA  - 2006/02
TI  - A Note on q-Bernoulli Numbers and Polynomials
JO  - Journal of Nonlinear Mathematical Physics
SP  - 9
EP  - 18
VL  - 13
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2006.13.1.2
DO  - https://doi.org/10.2991/jnmp.2006.13.1.2
ID  - HEGAZI2006
ER  -