Question

$V_0=\frac{\rho_0}{4\pi \epsilon_o}\iiint_0^{\infty}\frac{e^{-(x^2+2y^2+2z^2)}}{\sqrt{x^2+y^2+z^2}} dxdydz$

score 150 · Answer 1 · 2026-03-28 09:53:36

150

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$V_0=\frac{\rho_0}{4\pi \epsilon_o}\iiint_0^{\infty}\frac{e^{-(x^2+2y^2+2z^2)}}{\sqrt{x^2+y^2+z^2}} dxdydz$

Published on 28 Mar 2026 - 9:53

score 97 · Answer 2 · 2016-04-10 23:54:20

97

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Show $\int\limits_0^1\sqrt{1-t^3}\,dt = \frac{\sqrt{3}\cdot\Gamma(\frac{1}{3} )^3}{ 10\pi\sqrt[3]{2}}$

Published on 10 Apr 2016 - 23:54

score 943 · Answer 3 · 2026-03-28 22:55:10

943

Views

conjectured general continued fraction for the quotient of gamma functions

Published on 28 Mar 2026 - 22:55

score 254 · Answer 4 · 2016-04-12 17:54:41

254

Views

Is $\Gamma(\alpha, 0, x)$ log-concave as a function of $x$ (for fixed $\alpha$)?

Published on 12 Apr 2016 - 17:54

score 2.7k · Answer 5 · 2016-04-13 01:04:11

2.7k

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How to prove that $\frac{\Gamma(3/2)}{3\Gamma(11/6)}=\frac{\sqrt{3}\,\Gamma(1/3)^2}{10\pi\sqrt[3]{2}}$?

Published on 13 Apr 2016 - 1:04

score 221 · Answer 6 · 2026-03-31 22:47:48

221

Views

Prove that $\lim_{\ r\ \to \ \infty} \dfrac{r! r^x}{x(x+1)(x+2) \dots (x+r)} = \int_{0}^{\infty} t^{x-1} e^{-t} dt $

Published on 31 Mar 2026 - 22:47

score 163 · Answer 7 · 2026-04-05 23:50:53

163

Views

Is the gamma function a solution to this problem?

Published on 05 Apr 2026 - 23:50

score 1.3k · Answer 8 · 2016-04-14 17:30:32

1.3k

Views

The Gamma function has no zeros

Published on 14 Apr 2016 - 17:30

score 69 · Answer 9 · 2016-04-17 23:05:14

69

Views

A change of variables in Riemann's proof of the functional equation of $\zeta(s)$

Published on 17 Apr 2016 - 23:05

score 353 · Answer 10 · 2026-03-26 02:35:55

353

Views

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score 187 · Answer 11 · 2016-04-18 21:35:25

187

Views

Evaluating sum over partial gamma function

Published on 18 Apr 2016 - 21:35

score 74 · Answer 12 · 2016-04-21 17:23:51

74

Views

What's about $\sum_{n=1}^\infty e^{-p_n u}$, where $p_n$ is the nth-prime number?

Published on 21 Apr 2016 - 17:23

score 479 · Answer 13 · 2016-04-23 23:15:36

479

Views

Taylor series has zero convergence radius?

Published on 23 Apr 2016 - 23:15

score 351 · Answer 14 · 2016-04-25 01:50:15

351

Views

Sum of Gamma Function Residues

Published on 25 Apr 2016 - 1:50

score 209 · Answer 15 · 2026-03-26 14:20:47

209

Views

How can I calculate a future random date/time with a probability distribution like a normal distribution - gamma distribution or similar?

Published on 26 Mar 2026 - 14:20

List Question

$V_0=\frac{\rho_0}{4\pi \epsilon_o}\iiint_0^{\infty}\frac{e^{-(x^2+2y^2+2z^2)}}{\sqrt{x^2+y^2+z^2}} dxdydz$

Show $\int\limits_0^1\sqrt{1-t^3}\,dt = \frac{\sqrt{3}\cdot\Gamma(\frac{1}{3} )^3}{ 10\pi\sqrt[3]{2}}$

conjectured general continued fraction for the quotient of gamma functions

Is $\Gamma(\alpha, 0, x)$ log-concave as a function of $x$ (for fixed $\alpha$)?

How to prove that $\frac{\Gamma(3/2)}{3\Gamma(11/6)}=\frac{\sqrt{3}\,\Gamma(1/3)^2}{10\pi\sqrt[3]{2}}$?

Prove that $\lim_{\ r\ \to \ \infty} \dfrac{r! r^x}{x(x+1)(x+2) \dots (x+r)} = \int_{0}^{\infty} t^{x-1} e^{-t} dt $

Is the gamma function a solution to this problem?

The Gamma function has no zeros

A change of variables in Riemann's proof of the functional equation of $\zeta(s)$

Regularizing the sum of all factorials

Evaluating sum over partial gamma function

What's about $\sum_{n=1}^\infty e^{-p_n u}$, where $p_n$ is the nth-prime number?

Taylor series has zero convergence radius?

Sum of Gamma Function Residues

How can I calculate a future random date/time with a probability distribution like a normal distribution - gamma distribution or similar?

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