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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
Received 13 September 2005, Accepted 2 January 2006, Available Online 1 August 2006.
- DOI
- 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.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - Taekyun Kim AU - A.S. Hegazi AU - M. Mansour PY - 2006 DA - 2006/08/01 TI - A note on q-Bernoulli numbers and polynomials JO - Journal of Nonlinear Mathematical Physics SP - 315 EP - 322 VL - 13 IS - 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2006.13.3.1 DO - 10.2991/jnmp.2006.13.3.1 ID - Kim2006 ER -