query: Closed form of product of complex numbers
positive_passages.docid: 23919
positive_passages.text: Trying to evaluate $\prod_{k=1}^{n-1}(1-e^{2k\pi i/n})$ for my complex analysis homework
negative_passages.docid: 68320
negative_passages.text: Infinite Product $\prod\limits_{k=1}^\infty\left({1-\frac{x^2}{k^2\pi^2}}\right)$
negative_passages.docid: 19914
negative_passages.text: Closed form for $\sum_{n=0}^{\infty} \binom{n+k}{k} x^n$ (Negative Binomial Theorem)
negative_passages.docid: 146762
negative_passages.text: Closed form for $\sum_{k=0}^{n} \binom{n}{k}\frac{(-1)^k}{(k+1)^2}$
negative_passages.docid: 22077
negative_passages.text: Closed form for the sequence defined by $a_0=1$ and $a_{n+1} = a_n + a_n^{-1}$
negative_passages.docid: 28109
negative_passages.text: Conjectural closed-form representations of sums, products or integrals
negative_passages.docid: 5034
negative_passages.text: A closed form of $\int_0^1\frac{\ln\ln\left({1}/{x}\right)}{x^2-x+1}\mathrm dx$
negative_passages.docid: 634
negative_passages.text: Closed form formula for $\sum\limits_{k=1}^n k^k$
negative_passages.docid: 140968
negative_passages.text: Proof for Property of Complex Numbers
negative_passages.docid: 87479
negative_passages.text: Closed form for $\sum_{k=0}^{n-p}\binom{n}{k}\binom{n}{p+k}$
negative_passages.docid: 120895
negative_passages.text: Converting complex number raised to a power to polar form
negative_passages.docid: 120092
negative_passages.text: Express the complex numbers given in Problem in the form $a+ib$
negative_passages.docid: 129801
negative_passages.text: Finding a closed form for $\sum^{n}_{k=1} \frac{k}{(k+1)!} $
negative_passages.docid: 137718
negative_passages.text: Prove that the complex expression is real
negative_passages.docid: 140221
negative_passages.text: Product of two power series
negative_passages.docid: 125887
negative_passages.text: Evaluate an infinite product in a closed form $\prod\limits_{n=1}^{\infty} \frac{1}{1+\pi^{1/{2^n}}}$
negative_passages.docid: 128608
negative_passages.text: Closed form for the series $a+a^p+(a^p)^p+\dots$