A note on Carlitz q-Bernoulli numbers and polynomials

被引：0
|
作者：
Daeyeoul Kim
Min-Soo Kim
机构：
[1] Doryong-dong,National Institute for Mathematical Sciences
[2] Kyungnam University,Division of Cultural Education
来源：
Advances in Difference Equations | / 2012卷
关键词：
Carlitz ; -Bernoulli numbers; Carlitz ; -Bernoulli polynomials; Dirichlet ; functions;
D O I：
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学科分类号：
摘要：
In this article, we first aim to give simple proofs of known formulae for the generalized Carlitz q-Bernoulli polynomials βm,χ(x, q) in the p-adic case by means of a method provided by Kim and then to derive a complex, analytic, two-variable q-L-function that is a q-analog of the two-variable L-function. Using this function, we calculate the values of two-variable q-L-functions at nonpositive integers and study their properties when q tends to 1.
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