q-Analogues of the Barnes multiple zeta functions
classification
🧮 math.NT
keywords
functionsbarnesmultiplezetaanaloguescomplexextendedintroduce
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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.
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