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On the two-variable Dirichlet q-L-series

Y. Simsek·Daeyeoul Kim·Seog-Hoon Rim
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Abstract

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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Y. Simsek, Daeyeoul Kim, Seog-Hoon Rim. 2005-11-12. On the two-variable Dirichlet q-L-series. https://arxiv.org/abs/math/0511323

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