q-Analogues of the Barnes multiple zeta functions

Abstract

In this paper, we introduce $q$-analogues of the Barnes multiple zeta functions. We show that these functions can be extended meromorphically to the whole plane, and moreover, tend to the Barnes multiple zeta functions when $q\uparrow 1$ for all complex numbers.

13 pages

References in corpus (2)

• q-Analogues of the Riemann zeta, the Dirichlet L-functions, and a crystal zeta function
• Multiple finite Riemann zeta functions