Symmetric identities for Carlitz’s q -Bernoulli numbers and polynomials

Advances in Difference Equations

Yuan He¹ 

[1] Faculty of Science, Kunming University of Science and Technology, Kunming, Yunnan, People’s Republic of China

关键词: Bernoulli numbers and polynomials;    q-Bernoulli numbers and polynomials;    combinatorial identities;   

DOI  :  10.1186/1687-1847-2013-246

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a further investigation for the Carlitz’s q-Bernoulli numbers and q-Bernoulli polynomials is performed, and several symmetric identities for these numbers and polynomials are established by applying elementary methods and techniques. It turns out that various known results are derived as special cases. MSC:11B68, 05A19.

【 授权许可】

CC BY