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.
| Original language | English |
|---|---|
| Pages (from-to) | 227-239 |
| Number of pages | 13 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 468 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2018.12.1 |
Keywords
- Barnes gamma function
- Jackson integral
- Multiple Hurwitz–Lerch zeta function
- Raabe type formula
Quacquarelli Symonds(QS) Subject Topics
- Mathematics
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