Question

Closed form of $\sum_{i=0}^{\infty} x^i (i!(i+1)!)^{-1/2}$

score 190 · Answer 1 · 2022-03-04 17:41:43

190

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Closed form of $\sum_{i=0}^{\infty} x^i (i!(i+1)!)^{-1/2}$

Published on 04 Mar 2022 - 17:41

score 56 · Answer 2 · 2026-04-12 19:34:35

56

Views

Closed form of equation with summation to infinity: brownian motion in a confined 1D box

Published on 12 Apr 2026 - 19:34

score 187 · Answer 3 · 2026-04-11 06:35:19

187

Views

Behavior of self convolution of 1/n

Published on 11 Apr 2026 - 6:35

score 67 · Answer 4 · 2026-04-12 22:30:23

67

Views

Calculation of a specific integral involving the Levy distribution

Published on 12 Apr 2026 - 22:30

score 41 · Answer 5 · 2022-03-09 20:51:03

41

Views

Conjecture about equality of integrals with specific 2nd and 3rd order polynomial multiplying a function of $\sin^2(\pi t)$

Published on 09 Mar 2022 - 20:51

score 131 · Answer 6 · 2026-04-11 17:53:57

131

Views

Finding the value of $\sum \limits ^{\infty}_{n=3,5,7,9....}\dfrac{2n \exp \left(-\pi n/2\right)}{\exp(\pi n)+1}$

Published on 11 Apr 2026 - 17:53

score 141 · Answer 7 · 2026-04-11 13:32:16

141

Views

Finding the value of $\sum^{\infty}_{n=3,5,7,9....}\frac{2n^2 \exp(-\pi n/2)}{\exp(\pi n)+1}$

Published on 11 Apr 2026 - 13:32

score 1.3k · Answer 8 · 2026-03-25 10:25:28

1.3k

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How to prove $\int_0^1 \frac{\arctan^2(x)\ln\left(\frac{x}{(1-x)^2}\right)}x \, \mathrm{d}x=G^2$?

Published on 25 Mar 2026 - 10:25

score 83 · Answer 9 · 2026-04-11 04:51:02

83

Views

Trig sum and residues

Published on 11 Apr 2026 - 4:51

score 153 · Answer 10 · 2026-04-13 03:48:41

153

Views

Multipole-like integral on the unit disc

Published on 13 Apr 2026 - 3:48

score 56 · Answer 11 · 2026-04-09 04:45:34

56

Views

Finding closed form Linear algebra solutions to equations using Signum operator.

Published on 09 Apr 2026 - 4:45

score 62 · Answer 12 · 2026-04-10 18:39:19

62

Views

Closed form formula instead of recursive sequence

Published on 10 Apr 2026 - 18:39

score 61 · Answer 13 · 2026-04-12 00:55:07

61

Views

Is there a closed-form formula for this function from positive integers to positive integers?

Published on 12 Apr 2026 - 0:55

score 263 · Answer 14 · 2026-04-11 01:42:17

263

Views

Closed form for definite integrals invovling Jacobi elliptic functions

Published on 11 Apr 2026 - 1:42

score 229 · Answer 15 · 2026-04-13 09:56:01

229

Views

formulas for binary expansion of irrational number between $0$ and $1$

Published on 13 Apr 2026 - 9:56

List Question

Closed form of $\sum_{i=0}^{\infty} x^i (i!(i+1)!)^{-1/2}$

Closed form of equation with summation to infinity: brownian motion in a confined 1D box

Behavior of self convolution of 1/n

Calculation of a specific integral involving the Levy distribution

Conjecture about equality of integrals with specific 2nd and 3rd order polynomial multiplying a function of $\sin^2(\pi t)$

Finding the value of $\sum \limits ^{\infty}_{n=3,5,7,9....}\dfrac{2n \exp \left(-\pi n/2\right)}{\exp(\pi n)+1}$

Finding the value of $\sum^{\infty}_{n=3,5,7,9....}\frac{2n^2 \exp(-\pi n/2)}{\exp(\pi n)+1}$

How to prove $\int_0^1 \frac{\arctan^2(x)\ln\left(\frac{x}{(1-x)^2}\right)}x \, \mathrm{d}x=G^2$?

Trig sum and residues

Multipole-like integral on the unit disc

Finding closed form Linear algebra solutions to equations using Signum operator.

Closed form formula instead of recursive sequence

Is there a closed-form formula for this function from positive integers to positive integers?

Closed form for definite integrals invovling Jacobi elliptic functions

formulas for binary expansion of irrational number between $0$ and $1$

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