Question

Double sum over $\left\lfloor{ac+bd\over k}\right\rfloor$

score 190 · Answer 1 · 2019-01-03 16:05:04

190

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Double sum over $\left\lfloor{ac+bd\over k}\right\rfloor$

Published on 03 Jan 2019 - 16:05

score 82 · Answer 2 · 2026-03-25 01:18:39

82

Views

Closed form for $\sum\limits_{n=1}^{\infty}\frac{O_{n}^{(p)}}{(2n-1)^{q}}$, with $O_{n}^{(s)}=\sum\limits_{k=1}^n\frac1{(2k-1)^{s}}$

Published on 25 Mar 2026 - 1:18

score 68 · Answer 3 · 2019-01-04 18:26:14

68

Views

Solving linear ordinary, 2nd order differential equations via global integral bases.

Published on 04 Jan 2019 - 18:26

score 164 · Answer 4 · 2019-01-05 12:26:58

164

Views

Prove that $ \int\limits_0^\infty\frac{x^2}{e^{2 x} (1-x)^2+e^{-2 x} (1+x)^2}\,dx=\dfrac{3\pi}{8} $

Published on 05 Jan 2019 - 12:26

score 286 · Answer 5 · 2019-01-06 01:41:17

286

Views

Scary looking integral from a movie background

Published on 06 Jan 2019 - 1:41

score 276 · Answer 6 · 2026-03-25 06:06:17

276

Views

How to show that $\sum_{n=1}^{\infty}\frac{H_n}{n^2+n}=\frac{\pi^2}{6}$

Published on 25 Mar 2026 - 6:06

score 85 · Answer 7 · 2026-03-25 12:53:26

85

Views

Can this Helmholtz PDE with Robin boundary conditions be solved analytically?

Published on 25 Mar 2026 - 12:53

score 58 · Answer 8 · 2019-01-07 15:57:44

58

Views

Does this bivariate function have a non-summation form or a good looking generating function?

Published on 07 Jan 2019 - 15:57

score 162 · Answer 9 · 2019-01-08 09:12:40

162

Views

Algebraic Closed Form for $\sum_{n=1}^{k}\left( n- 3 \lfloor \frac{n-1}{3} \rfloor\right)$

Published on 08 Jan 2019 - 9:12

score 1.8k · Answer 10 · 2019-01-08 09:36:50

1.8k

Views

Infinite summation formula for modified Bessel functions of first kind

Published on 08 Jan 2019 - 9:36

score 173 · Answer 11 · 2019-01-08 12:36:25

173

Views

For the periodic sequence, is there always an algebraic closed form?

Published on 08 Jan 2019 - 12:36

score 87 · Answer 12 · 2019-01-09 18:22:44

87

Views

Is every sequence bounded by a sequence which can be represented in closed form?

Published on 09 Jan 2019 - 18:22

score 348 · Answer 13 · 2019-01-10 03:33:48

348

Views

Closed form of $\int_0^\infty \sin(x)\sin\left(\frac{1}{x}\right)dx$?

Published on 10 Jan 2019 - 3:33

score 635 · Answer 14 · 2026-03-17 14:56:02

635

Views

What is the surface area of the 3-dimensional elliptope?

Published on 17 Mar 2026 - 14:56

score 314 · Answer 15 · 2019-01-11 22:58:11

314

Views

Closed form for $\sum\limits_{n=2}^{\infty}\frac1{n^3-1}$

Published on 11 Jan 2019 - 22:58

List Question

Double sum over $\left\lfloor{ac+bd\over k}\right\rfloor$

Closed form for $\sum\limits_{n=1}^{\infty}\frac{O_{n}^{(p)}}{(2n-1)^{q}}$, with $O_{n}^{(s)}=\sum\limits_{k=1}^n\frac1{(2k-1)^{s}}$

Solving linear ordinary, 2nd order differential equations via global integral bases.

Prove that $ \int\limits_0^\infty\frac{x^2}{e^{2 x} (1-x)^2+e^{-2 x} (1+x)^2}\,dx=\dfrac{3\pi}{8} $

Scary looking integral from a movie background

How to show that $\sum_{n=1}^{\infty}\frac{H_n}{n^2+n}=\frac{\pi^2}{6}$

Can this Helmholtz PDE with Robin boundary conditions be solved analytically?

Does this bivariate function have a non-summation form or a good looking generating function?

Algebraic Closed Form for $\sum_{n=1}^{k}\left( n- 3 \lfloor \frac{n-1}{3} \rfloor\right)$

Infinite summation formula for modified Bessel functions of first kind

For the periodic sequence, is there always an algebraic closed form?

Is every sequence bounded by a sequence which can be represented in closed form?

Closed form of $\int_0^\infty \sin(x)\sin\left(\frac{1}{x}\right)dx$?

What is the surface area of the 3-dimensional elliptope?

Closed form for $\sum\limits_{n=2}^{\infty}\frac1{n^3-1}$

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