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What is the solution to the following? It's sort of a modified/generalized geometric progression (or is there a known name for this kind?),

$$\lim_{N\to\infty}\prod_{n=0}^{N}(1+a^n), a\in(0,1)$$

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  • $\begingroup$ Try looking at Q-Pochhammer_symbol for some further inspiration. $\endgroup$ – Chinny84 Feb 4 '16 at 16:42
  • $\begingroup$ So equation (53) of this page has the solution expressed in terms of Jacobi theta function, which I also need some time to understand. $\endgroup$ – Tian He Feb 5 '16 at 3:16

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