Question

$\sum_{i=0}^n (-1)^i\frac{C_i}{i+2}$ $C_i$ being the coefficient of $x^i$ in $(1+x)^n$

score 47 · Answer 1 · 2019-08-31 18:32:02

47

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$\sum_{i=0}^n (-1)^i\frac{C_i}{i+2}$ $C_i$ being the coefficient of $x^i$ in $(1+x)^n$

Published on 31 Aug 2019 - 18:32

score 33 · Answer 2 · 2026-03-27 07:41:40

33

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an identity involving products of ratios of gamma

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score 90 · Answer 3 · 2026-03-25 06:00:30

90

Views

An simplified idenity from Mathematica involving polygamma

Published on 25 Mar 2026 - 6:00

score 114 · Answer 4 · 2026-03-27 18:07:12

114

Views

Evaluating hypergeometric function.

Published on 27 Mar 2026 - 18:07

score 321 · Answer 5 · 2026-03-27 16:22:55

321

Views

Prove that $\int_0^1 \frac{x^2}{\sqrt{x^4+1}} \, dx=\frac{\sqrt{2}}{2}-\frac{\pi ^{3/2}}{\Gamma \left(\frac{1}{4}\right)^2}$

Published on 27 Mar 2026 - 16:22

score 158 · Answer 6 · 2019-09-11 23:57:49

158

Views

the question about the proof of analyticity of gamma function

Published on 11 Sep 2019 - 23:57

score 139 · Answer 7 · 2026-03-25 19:25:22

139

Views

Product of two Gamma Functions: munging two integrals together with variable change to obtain result

Published on 25 Mar 2026 - 19:25

score 625 · Answer 8 · 2019-09-16 22:44:42

625

Views

Indefinite integral of $e^{x^n}$

Published on 16 Sep 2019 - 22:44

score 137 · Answer 9 · 2019-09-17 13:05:10

137

Views

inverse laplace transform of the ratio of two imcomplete Gamma function

Published on 17 Sep 2019 - 13:05

score 210 · Answer 10 · 2026-03-25 22:27:02

210

Views

Integral $\int_{-1}^{1}\ln\left(\frac{1+x}{1-x}\right)\frac{\mathrm dx}{(1-x)^{2/3}(1+x)^{1/3}} $

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score 311 · Answer 11 · 2026-03-25 19:25:30

311

Views

Integral $\int_{0}^{\pi}\frac{\sin^px}{1+\cos x} dx $

Published on 25 Mar 2026 - 19:25

score 218 · Answer 12 · 2019-09-19 01:02:52

218

Views

Calculating parameter-limit in some infinite double series

Published on 19 Sep 2019 - 1:02

score 150 · Answer 13 · 2026-03-27 08:42:09

150

Views

Alternative definition of factorial

Published on 27 Mar 2026 - 8:42

score 24 · Answer 14 · 2019-09-21 00:42:56

24

Views

How do you derive an explicit solution to a functional equation using complex analysis?

Published on 21 Sep 2019 - 0:42

score 46 · Answer 15 · 2026-03-25 06:08:29

46

Views

What is $\langle v^n\rangle$, found from evaluating this integral?

Published on 25 Mar 2026 - 6:08

List Question

$\sum_{i=0}^n (-1)^i\frac{C_i}{i+2}$ $C_i$ being the coefficient of $x^i$ in $(1+x)^n$

an identity involving products of ratios of gamma

An simplified idenity from Mathematica involving polygamma

Evaluating hypergeometric function.

Prove that $\int_0^1 \frac{x^2}{\sqrt{x^4+1}} \, dx=\frac{\sqrt{2}}{2}-\frac{\pi ^{3/2}}{\Gamma \left(\frac{1}{4}\right)^2}$

the question about the proof of analyticity of gamma function

Product of two Gamma Functions: munging two integrals together with variable change to obtain result

Indefinite integral of $e^{x^n}$

inverse laplace transform of the ratio of two imcomplete Gamma function

Integral $\int_{-1}^{1}\ln\left(\frac{1+x}{1-x}\right)\frac{\mathrm dx}{(1-x)^{2/3}(1+x)^{1/3}} $

Integral $\int_{0}^{\pi}\frac{\sin^px}{1+\cos x} dx $

Calculating parameter-limit in some infinite double series

Alternative definition of factorial

How do you derive an explicit solution to a functional equation using complex analysis?

What is $\langle v^n\rangle$, found from evaluating this integral?

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