Abstract
Using the Jackson integral, we obtain the q-integral analogue of Raabe's 1843 formula for Barnes multiple Hurwitz–Lerch zeta functions and Barnes and Vardi's multiple gamma functions. Our results generalize q-integral analogue of the Raabe type formulas for the Hurwitz zeta functions and log gamma functions in [9]. During the proof we also obtain a new formula on the relationship between the higher and lower orders Hurwitz zeta functions.
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