Question

Apply the Abel summation formula to $\sum_{i=1}^k \operatorname{sinc} \bigl( \pi (x-i p) \bigr)$

score 138 · Answer 1 · 2021-10-22 15:38:58

138

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Apply the Abel summation formula to $\sum_{i=1}^k \operatorname{sinc} \bigl( \pi (x-i p) \bigr)$

Published on 22 Oct 2021 - 15:38

score 62 · Answer 2 · 2026-03-25 20:40:09

62

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Polygamma sum problem

Published on 25 Mar 2026 - 20:40

score 64 · Answer 3 · 2026-03-25 20:40:08

64

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Polygamma sum problem ...

Published on 25 Mar 2026 - 20:40

score 312 · Answer 4 · 2021-11-18 06:36:42

312

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Trying to prove $\left(1-\frac13+\frac15-\frac17+\cdots\right)^2=\frac38\left(\frac1{1^2}+\frac1{2^2}+\frac1{3^2}+\frac1{4^2}+\cdots\right)$

Published on 18 Nov 2021 - 6:36

score 76 · Answer 5 · 2021-12-08 05:08:16

76

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Square of sum of sum of variables

Published on 08 Dec 2021 - 5:08

score 82 · Answer 6 · 2021-12-11 01:39:46

82

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Finding the sum of geometric progression

Published on 11 Dec 2021 - 1:39

score 961 · Answer 7 · 2022-01-17 13:11:38

961

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Proof: Sum of minimum of two functions vs minimum of sum of functions

Published on 17 Jan 2022 - 13:11

score 58 · Answer 8 · 2022-01-24 16:55:19

58

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Analogue of Borel transform for holomorphic functions

Published on 24 Jan 2022 - 16:55

score 456 · Answer 9 · 2022-02-13 21:52:45

456

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Is there a way to expand a summation of product of two functions?

Published on 13 Feb 2022 - 21:52

score 40 · Answer 10 · 2022-02-15 23:12:11

40

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Steps to Summation closed form

Published on 15 Feb 2022 - 23:12

score 160 · Answer 11 · 2022-02-24 19:52:09

160

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When calculating infinite sums, if and when applicable can you cancel out the variables to equal zero?

Published on 24 Feb 2022 - 19:52

score 67 · Answer 12 · 2022-03-12 12:16:57

67

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Is it possible to rewrite this sum in terms of some power series?

Published on 12 Mar 2022 - 12:16

score 36 · Answer 13 · 2022-03-13 17:59:45

36

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Notions of convergence of real sequences. Where can I learn about this?

Published on 13 Mar 2022 - 17:59

score 92 · Answer 14 · 2022-03-28 11:07:36

92

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Proving $\sum_{k=1}^{n}\frac{1-a\cos\left(\frac{2\pi k}{n}\right)}{1-2a\cos\left(\frac{2\pi k}{n}\right)+a^{2}}=\frac{n}{1-a^{n}}$

Published on 28 Mar 2022 - 11:07

score 73 · Answer 15 · 2022-04-10 16:17:09

73

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Closed form of $\sum _{k=1}^{n }\:\lfloor{n/k}\rfloor$

Published on 10 Apr 2022 - 16:17

List Question

Apply the Abel summation formula to $\sum_{i=1}^k \operatorname{sinc} \bigl( \pi (x-i p) \bigr)$

Polygamma sum problem

Polygamma sum problem ...

Trying to prove $\left(1-\frac13+\frac15-\frac17+\cdots\right)^2=\frac38\left(\frac1{1^2}+\frac1{2^2}+\frac1{3^2}+\frac1{4^2}+\cdots\right)$

Square of sum of sum of variables

Finding the sum of geometric progression

Proof: Sum of minimum of two functions vs minimum of sum of functions

Analogue of Borel transform for holomorphic functions

Is there a way to expand a summation of product of two functions?

Steps to Summation closed form

When calculating infinite sums, if and when applicable can you cancel out the variables to equal zero?

Is it possible to rewrite this sum in terms of some power series?

Notions of convergence of real sequences. Where can I learn about this?

Proving $\sum_{k=1}^{n}\frac{1-a\cos\left(\frac{2\pi k}{n}\right)}{1-2a\cos\left(\frac{2\pi k}{n}\right)+a^{2}}=\frac{n}{1-a^{n}}$

Closed form of $\sum _{k=1}^{n }\:\lfloor{n/k}\rfloor$

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