List questions from infinite-product

Published on 06 Oct 2017 - 22:57

131

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Limit of recursive sequence $x_{n} =(x_{n-1})^b(ab+a)-1$

Published on 09 Oct 2017 - 22:01

92

Views

Showing that $\lim_{n \rightarrow \infty}(\frac{\partial}{\partial z})^{n}f(z)=\Psi$

Published on 12 Oct 2017 - 20:12

891

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Folland 1.32; Relation between infinite product of sequence and infinite sum of sequence

Published on 17 Oct 2017 - 5:30

671

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Can we convert infinite sums into infinite products?

Published on 17 Oct 2017 - 18:39

128

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Pi Product Notation from some number up to $\infty$

Published on 24 Oct 2017 - 6:22

182

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Closed form for the function $f(x)=\ln\prod_{k=1}^\infty\frac{1+a^k}{1+a^{k+x}}$

Published on 27 Oct 2017 - 20:37

101

Views

Finding the closed form of the product $\prod_{i = 1}^{\infty} (1 - 1/q^{i}) $.

Published on 28 Mar 2026 - 21:34

1.4k

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How do I show that the infinite product converges.

Published on 28 Mar 2026 - 3:26

113

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Is there an infinite product like this for $\cos x$?

Published on 30 Mar 2026 - 13:43

130

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Construct a meromorphic function has a double order pole at the points $2^n$ and a double order zero at the points $−2^n$

Published on 02 Nov 2017 - 0:59

215

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Is this class of infinite products over primes well known?

Published on 02 Nov 2017 - 11:27

273

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Evaluate $\zeta(3)$

Published on 02 Nov 2017 - 14:15

80

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What is the limit of $\prod\limits_{i=2}^n\frac{2i^2-i-1}{2i^2+i-1}$ when $n$ approaches infinity?

Published on 12 Nov 2017 - 13:46

335

Views

Sylvester's sequence - series representation of Vardi's constant

Published on 29 Mar 2026 - 16:20

List Question

Convergence of an infinite product

Limit of recursive sequence $x_{n} =(x_{n-1})^b(ab+a)-1$

Showing that $\lim_{n \rightarrow \infty}(\frac{\partial}{\partial z})^{n}f(z)=\Psi$

Folland 1.32; Relation between infinite product of sequence and infinite sum of sequence

Can we convert infinite sums into infinite products?

Pi Product Notation from some number up to $\infty$

Closed form for the function $f(x)=\ln\prod_{k=1}^\infty\frac{1+a^k}{1+a^{k+x}}$

Finding the closed form of the product $\prod_{i = 1}^{\infty} (1 - 1/q^{i}) $.

How do I show that the infinite product converges.

Is there an infinite product like this for $\cos x$?

Construct a meromorphic function has a double order pole at the points $2^n$ and a double order zero at the points $−2^n$

Is this class of infinite products over primes well known?

Evaluate $\zeta(3)$

What is the limit of $\prod\limits_{i=2}^n\frac{2i^2-i-1}{2i^2+i-1}$ when $n$ approaches infinity?

Sylvester's sequence - series representation of Vardi's constant

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