A new construction on the q -Bernoulli polynomials

Advances in Difference Equations

Sun-Jung Lee¹  Abdelmejid Bayad²  Seog-Hoon Rim³  Joung-Hee Jin⁵  Eun-Jung Moon⁶ 

[1] Evry Val d'DéDepartment of Mathematics Education, Kyungpook National University Daegu, South Korea;Essonne, Evry Cedex, France;matiques, Universitépartement de mathé

关键词: Generate Function;    Functional Equation;    Related Topic;    Wrong Property;    Recurrence Formula;   

DOI  :  10.1186/1687-1847-2011-34

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper performs a further investigation on the q-Bernoulli polynomials and numbers given by Açikgöz et al. (Adv. Differ. Equ. 2010, 9, Article ID 951764) some incorrect properties are revised. It is pointed out that the definition concerning the q-Bernoulli polynomials and numbers is unreasonable. The purpose of this paper is to redefine the q-Bernoulli polynomials and numbers and correct its wrong properties and rebuild its theorems.

【 授权许可】

CC BY