List questions from infinite-product

Published on 25 Sep 2013 - 17:23

105

Views

Limit of $\prod_{p\text{ prime}}\left(1-[p(p-1)]^{-1}\right)$?

Published on 29 Sep 2013 - 1:43

768

Views

Showing that the Barnes G-function satisfies the functional equation $G(z+1) = \Gamma(z) G(z) $

Published on 30 Sep 2013 - 14:36

667

Views

Is $\prod \limits_{n=2}^{\infty}(1-\frac{1}{n^2})=1$

Published on 03 Oct 2013 - 4:30

1.8k

Views

How to prove $\prod_{i=1}^{\infty} (1-a_n) = 0$ iff $\sum_{i=1}^{\infty} a_n = \infty$?

Published on 09 Oct 2013 - 1:10

819

Views

Does order matter for the convergence of infinite products

Published on 13 Oct 2013 - 16:42

94

Views

Extension of Bernoulli Cube

Published on 20 Oct 2013 - 15:19

352

Views

Infinite "Euler"-products of composite numbers

Published on 21 Oct 2013 - 21:59

1.5k

Views

Derivation of Wallis's Formula

Published on 28 Oct 2013 - 20:49

97

Views

Show $g(z+1) = zg(z)$

Published on 29 Oct 2013 - 1:28

559

Views

What is $\lim\limits_{n\to\infty}(\sqrt2-\sqrt[3]2)\cdots(\sqrt2-\sqrt[n]2)$? How to approach?

Published on 02 Nov 2013 - 16:17

88

Views

Choosing a branch for $\log$ when comparing $\prod_{n=1}^\infty(1+a_n)$ and $\sum_{n=1}^\infty \log{(1+a_n)}$

Published on 08 Nov 2013 - 22:23

57

Views

Simplifying products

Published on 12 Nov 2013 - 20:51

44.9k

Views

$\sqrt{7\sqrt{7\sqrt{7\sqrt{7\sqrt{7\cdots}}}}}$ approximation

Published on 30 Mar 2026 - 6:30

185

Views

A curious product formula

Published on 05 Dec 2013 - 20:34

List Question

solving a hardcore limit with product

Limit of $\prod_{p\text{ prime}}\left(1-[p(p-1)]^{-1}\right)$?

Showing that the Barnes G-function satisfies the functional equation $G(z+1) = \Gamma(z) G(z) $

Is $\prod \limits_{n=2}^{\infty}(1-\frac{1}{n^2})=1$

How to prove $\prod_{i=1}^{\infty} (1-a_n) = 0$ iff $\sum_{i=1}^{\infty} a_n = \infty$?

Does order matter for the convergence of infinite products

Extension of Bernoulli Cube

Infinite "Euler"-products of composite numbers

Derivation of Wallis's Formula

Show $g(z+1) = zg(z)$

What is $\lim\limits_{n\to\infty}(\sqrt2-\sqrt[3]2)\cdots(\sqrt2-\sqrt[n]2)$? How to approach?

Choosing a branch for $\log$ when comparing $\prod_{n=1}^\infty(1+a_n)$ and $\sum_{n=1}^\infty \log{(1+a_n)}$

Simplifying products

$\sqrt{7\sqrt{7\sqrt{7\sqrt{7\sqrt{7\cdots}}}}}$ approximation

A curious product formula

Trending Questions

Popular # Hahtags

Popular Questions