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q-Analogues of the Barnes multiple zeta functions

Yoshinori Yamasaki
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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.

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Yoshinori Yamasaki. 2005-03-08. q-Analogues of the Barnes multiple zeta functions. https://doi.org/10.3836/tjm%2F1170348176

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