On the two-variable Dirichlet q-L-series

Details On the two-variable Dirichlet q-L-series On the two-variable Dirichlet q-L-series

2005-11-12

arxiv.org/abs/math/0511323v1

Advanced Studies in Contemporary Mathematics Vol 10 no. 2(2005)

Mathematics

Number Theory

14 pages

Scientific paper

In this study, we construct the two-variable multiple Dirichlet q-L-function and two-variable multiple Dirichlet type Changhee q-L-function. These functions interpolate the q-Bernoulli polynomials and generalized Changhee q-Bernoulli polynomials. By using the Mellin transformation, we give an integral representation for the two-variable multiple Dirichlet type q-zeta function and the two variable multiple Dirichlet type Changhee q-L-function.

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