On the two-variable Dirichlet q-L-series

Simsek, Y.; Kim, Daeyeoul; Rim, Seog-Hoon

On the two-variable Dirichlet q-L-series

Authors

Simsek, Y.

Kim, Daeyeoul

Rim, Seog-Hoon

Description

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.
14 pages