Question

What are the exact limits of validity of the Abel-Plana summation formula?

score 404 · Answer 1 · 2019-12-11 16:51:12

404

Views

What are the exact limits of validity of the Abel-Plana summation formula?

Published on 11 Dec 2019 - 16:51

score 33 · Answer 2 · 2019-12-15 19:39:39

33

Views

Finding a combined function from infinite series with a function in it

Published on 15 Dec 2019 - 19:39

score 26 · Answer 3 · 2019-12-31 15:04:10

26

Views

what will be the $(t+1)$-th term in this summation expansion and why?

Published on 31 Dec 2019 - 15:04

score 130 · Answer 4 · 2026-02-23 13:33:10

130

Views

Do Divergent Integrals have a unique regularisation?

Published on 23 Feb 2026 - 13:33

score 93 · Answer 5 · 2020-01-22 19:32:38

93

Views

Prove the combinatorial identity

Published on 22 Jan 2020 - 19:32

score 191 · Answer 6 · 2020-01-28 21:05:25

191

Views

$ \sum_{n = 1}^{\infty} ( \frac{p_{2n-1}}{p_{2n}} - \frac{p_{2n}}{p_{2n +1}} ) = ?? $

Published on 28 Jan 2020 - 21:05

score 51 · Answer 7 · 2020-02-09 20:02:34

51

Views

How is $\sum_{k \geq 0} \sum_{i \geq k+1} \mathbb{P}(X=i) = \sum_{i \geq 1} \sum_{k=0}^{i-1}\mathbb{P}(X=i) = \sum_{i \geq1} i \mathbb{P}(X=i) $?

Published on 09 Feb 2020 - 20:02

score 2.2k · Answer 8 · 2020-02-23 13:58:20

2.2k

Views

On proving that $\sum\limits_{n=1}^\infty \frac{n^{13}}{e^{2\pi n}-1}=\frac 1{24}$

Published on 23 Feb 2020 - 13:58

score 160 · Answer 9 · 2020-02-23 16:59:59

160

Views

Estimate on partial sum $\sum_{n=1}^x \frac{\sin^2(n)}{n}$ using Abel Plana Summation Formula :

Published on 23 Feb 2020 - 16:59

score 165 · Answer 10 · 2020-02-28 21:50:02

165

Views

Show $\sum_{n \in \mathbb{Z}} \sum_{k \in \mathbb{Z}} a_k b_{n-k} z^n =(\sum_{n \in \mathbb{Z}}a_n z^n)(\sum_{n \in \mathbb{Z}}b_n z^n)$

Published on 28 Feb 2020 - 21:50

score 189 · Answer 11 · 2020-03-01 02:40:21

189

Views

A closed form for $\sum_{k=0}^n \frac{ (-1)^k {n \choose k}^2}{k+1}$

Published on 01 Mar 2020 - 2:40

score 109 · Answer 12 · 2020-03-03 12:16:12

109

Views

$\sum_{(s,t)\in S\times T} f(s,t)=\sum_{s\in S}\sum_{t\in T} f(s,t)$ via Fubini-Tonelli?

Published on 03 Mar 2020 - 12:16

score 29 · Answer 13 · 2020-03-04 19:21:09

29

Views

Closed form expression for the following Binomial expansion

Published on 04 Mar 2020 - 19:21

score 8.9k · Answer 14 · 2020-03-05 18:24:35

8.9k

Views

Towards a new proof of infinitude of primes ( with possible unified application to other primes of special forms whose Infinitude is unknown):

Published on 05 Mar 2020 - 18:24

score 34 · Answer 15 · 2020-03-13 23:49:31

34

Views

Decreasing summation amount based on number selected

Published on 13 Mar 2020 - 23:49

List Question

What are the exact limits of validity of the Abel-Plana summation formula?

Finding a combined function from infinite series with a function in it

what will be the $(t+1)$-th term in this summation expansion and why?

Do Divergent Integrals have a unique regularisation?

Prove the combinatorial identity

$ \sum_{n = 1}^{\infty} ( \frac{p_{2n-1}}{p_{2n}} - \frac{p_{2n}}{p_{2n +1}} ) = ?? $

How is $\sum_{k \geq 0} \sum_{i \geq k+1} \mathbb{P}(X=i) = \sum_{i \geq 1} \sum_{k=0}^{i-1}\mathbb{P}(X=i) = \sum_{i \geq1} i \mathbb{P}(X=i) $?

On proving that $\sum\limits_{n=1}^\infty \frac{n^{13}}{e^{2\pi n}-1}=\frac 1{24}$

Estimate on partial sum $\sum_{n=1}^x \frac{\sin^2(n)}{n}$ using Abel Plana Summation Formula :

Show $\sum_{n \in \mathbb{Z}} \sum_{k \in \mathbb{Z}} a_k b_{n-k} z^n =(\sum_{n \in \mathbb{Z}}a_n z^n)(\sum_{n \in \mathbb{Z}}b_n z^n)$

A closed form for $\sum_{k=0}^n \frac{ (-1)^k {n \choose k}^2}{k+1}$

$\sum_{(s,t)\in S\times T} f(s,t)=\sum_{s\in S}\sum_{t\in T} f(s,t)$ via Fubini-Tonelli?

Closed form expression for the following Binomial expansion

Towards a new proof of infinitude of primes ( with possible unified application to other primes of special forms whose Infinitude is unknown):

Decreasing summation amount based on number selected

Trending Questions

Popular # Hahtags

Popular Questions