On the two-variable Dirichlet q-L-series

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.

arXiv comment14 pages

References in corpus (3)

• $q$-Bernoulli Numbers and Polynomials Associated with Multiple $q$-Zeta Functions and Basic $L$-series
• A New approach to q-zeta function
• On the Two q-Analogue Logarithmic Functions

Cited by in corpus (7)

• Note on the Euler Numbers and Polynomials
• q-Hardy-Berndt type sums associated with q-Genocchi type zeta and l-functions
• Twisted p-adic (h,q)-L-functions
• p-adic l-functions and sums of powers
• A New Changhee q-Euler Numbers and Polynomials Associated with p-Adic q-Integrals
• A new Kim's type Bernoulli and Euler Numbers and related identities and zeta and L-functions
• q-Euler Numbers and Polynomials Associated with Basic Zeta Functions