Question

Convergence of $\prod_{n=2}^\infty\left(1-\frac{1}{n^2}\right)^{i^n}$, where $i$ is the imaginary unit

score 232 · Answer 1 · 2026-04-16 10:05:55

232

Views

Convergence of $\prod_{n=2}^\infty\left(1-\frac{1}{n^2}\right)^{i^n}$, where $i$ is the imaginary unit

Published on 16 Apr 2026 - 10:05

score 5k · Answer 2 · 2026-05-10 15:16:20

5k

Views

Infinite Product Expansion of Hyperbolic Functions

Published on 10 May 2026 - 15:16

score 77 · Answer 3 · 2026-04-30 15:14:09

77

Views

Product of Zeta function

Published on 30 Apr 2026 - 15:14

score 55 · Answer 4 · 2026-04-12 02:34:39

55

Views

How to prove infinite product converging to sin and cos?

Published on 12 Apr 2026 - 2:34

score 165 · Answer 5 · 2026-04-14 09:53:36

165

Views

Could one convert a Double Infinite Product into a Double Infinite Series?

Published on 14 Apr 2026 - 9:53

score 168 · Answer 6 · 2026-04-18 05:38:54

168

Views

expanding $\prod_{n=1}^{\infty}\frac{(1-x^n)(1-x^{adn})}{(1-x^{dn})}$

Published on 18 Apr 2026 - 5:38

score 399 · Answer 7 · 2026-04-17 13:51:57

399

Views

Factoring a convergent infinite product of polynomials.

Published on 17 Apr 2026 - 13:51

score 117 · Answer 8 · 2026-04-10 00:20:24

117

Views

Closed form if any for infinite product

Published on 10 Apr 2026 - 0:20

score 221 · Answer 9 · 2026-04-15 16:43:53

221

Views

What is the value of this product: $\prod_{n=1}^\infty \;\frac{3}{1+2 \cos(\frac{\pi}{3^n})} \;=\;? $

Published on 15 Apr 2026 - 16:43

score 185 · Answer 10 · 2026-04-12 23:23:57

185

Views

Does the infinite product $\frac{2}{1}\times\frac{4}{3}\times\frac{6}{5}\times\dots$ converge?

Published on 12 Apr 2026 - 23:23

score 142 · Answer 11 · 2026-04-14 03:18:26

142

Views

Show divergence of an infinite product with terms containing congruence-restricted primes

Published on 14 Apr 2026 - 3:18

score 65 · Answer 12 · 2026-04-15 05:46:58

65

Views

lower bound of convergent infinite products

Published on 15 Apr 2026 - 5:46

score 251 · Answer 13 · 2026-04-13 18:52:05

251

Views

Solve Recurrence Relation $a_k=(a_{k-1})^2-2$

Published on 13 Apr 2026 - 18:52

score 74 · Answer 14 · 2026-05-10 18:44:46

74

Views

Can anyone help with find the properties associated with $\prod$ of product

Published on 10 May 2026 - 18:44

score 594 · Answer 15 · 2026-04-13 07:26:12

594

Views

Generalizing a Trigonometric Infinite Product of Vieta

Published on 13 Apr 2026 - 7:26

List Question

Convergence of $\prod_{n=2}^\infty\left(1-\frac{1}{n^2}\right)^{i^n}$, where $i$ is the imaginary unit

Infinite Product Expansion of Hyperbolic Functions

Product of Zeta function

How to prove infinite product converging to sin and cos?

Could one convert a Double Infinite Product into a Double Infinite Series?

expanding $\prod_{n=1}^{\infty}\frac{(1-x^n)(1-x^{adn})}{(1-x^{dn})}$

Factoring a convergent infinite product of polynomials.

Closed form if any for infinite product

What is the value of this product: $\prod_{n=1}^\infty \;\frac{3}{1+2 \cos(\frac{\pi}{3^n})} \;=\;? $

Does the infinite product $\frac{2}{1}\times\frac{4}{3}\times\frac{6}{5}\times\dots$ converge?

Show divergence of an infinite product with terms containing congruence-restricted primes

lower bound of convergent infinite products

Solve Recurrence Relation $a_k=(a_{k-1})^2-2$

Can anyone help with find the properties associated with $\prod$ of product

Generalizing a Trigonometric Infinite Product of Vieta

Trending Questions

Popular # Hahtags

Popular Questions