General formula of $\prod_{i=1}^{n}(a^ib+1)$

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Is there any general formula of the following product?. Thank you in advance. $$\prod_{i=1}^{n}(a^ib+1)$$

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check out the q-Pochhammer-symbol, it might be what you're looking for. https://en.wikipedia.org/wiki/Q-Pochhammer_symbol