List questions from products

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How to compute $\prod_{n=-\infty}^{\infty}(n+a) = a \prod_{n=1}^{\infty} (-n^2)(1- \frac{a^2}{n^2}) = 2 i \sin(\pi a) $

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computation $ \prod_{n=1}^{\infty}(1+q^{2n})(1+q^{2(n-1)}) = 2 \prod_{n=1}^{\infty} (1+q^{2n})^2 $

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Sum over subsets of $\{1,2,\ldots,n\}$ of terms involving a product over that subset

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Evaluate $(1-\frac1{2^2})(1-\frac1{3^2})\ldots(1-\frac1{2015^2})$

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Published on 02 Feb 2015 - 0:52

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Published on 05 Feb 2015 - 15:26

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Subsets Of A Set Product

How to compute $\prod_{n=-\infty}^{\infty}(n+a) = a \prod_{n=1}^{\infty} (-n^2)(1- \frac{a^2}{n^2}) = 2 i \sin(\pi a) $

computation $ \prod_{n=1}^{\infty}(1+q^{2n})(1+q^{2(n-1)}) = 2 \prod_{n=1}^{\infty} (1+q^{2n})^2 $

Identity in Number Theory Paper

Expected value of a product of n random variables

Product of random independent variables

How to prove the identity $\prod_{n=1}^{\infty} (1-q^{2n-1}) (1+q^{n}) =1 $ for $|q|<1$?

Does the dot product angle formula work for $\Bbb{R}^n$?

Cleaning Up Messy Product Notation

Reference request for a special product

Normable topology determined by its restriction to a finite number of factors?

Sum over subsets of $\{1,2,\ldots,n\}$ of terms involving a product over that subset

Evaluate $(1-\frac1{2^2})(1-\frac1{3^2})\ldots(1-\frac1{2015^2})$

Computing product of lots of matrices?

Inverting a product

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