A new construction on the q-Bernoulli polynomials

作者：Rim Seog Hoon^*; Bayad Abdelmejid; Moon Eun Jung; Jin Joung Hee; Lee Sun Jung

来源：Advances in Difference Equations, 2011, 34.

DOI：10.1186/1687-1847-2011-34

This paper performs a further investigation on the q-Bernoulli polynomials and numbers given by Acikgoz 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.

• 出版日期2011