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Results tagged with q-series
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user 76764
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q-binomial-like series with exponentials defining probability distribution
Recently I encountered the series
$$f(d) = \frac{1}{(t;t)_\infty} \sum_{k=0}^\infty \frac{(-1)^k t^{\binom{k}{2}}}{(t;t)_k} e^{-t^{d-k}}$$
where $(t;t)_n = \prod_{i=1}^n (1-t^i)$, and $0 < t < 1$. Tho …
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