Question

Closed form for $Q_{m}(x)=\sum _{n=0}^{\infty } \frac{ (-1)^n}{n+m}\frac{x^{n}}{n!}$

score 93 · Answer 1 · 2018-04-21 18:17:56

93

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Closed form for $Q_{m}(x)=\sum _{n=0}^{\infty } \frac{ (-1)^n}{n+m}\frac{x^{n}}{n!}$

Published on 21 Apr 2018 - 18:17

score 87 · Answer 2 · 2026-03-23 08:28:39

87

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Closed form for a combinatorial series - Convolution.

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score 290 · Answer 3 · 2018-04-25 00:09:43

290

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Closed form for $\sum_{n=0}^\infty {1\over (xn)!}$

Published on 25 Apr 2018 - 0:09

score 220 · Answer 4 · 2026-03-24 22:15:44

220

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score 139 · Answer 5 · 2018-04-26 10:59:59

139

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score 126 · Answer 6 · 2018-04-29 12:52:53

126

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On a closed form for $\int_{-\infty}^\infty\frac{dx}{\left(1+x^2\right)^p}$

Published on 29 Apr 2018 - 12:52

score 76 · Answer 7 · 2018-04-30 20:41:48

76

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Is there any proof in Number theory claimed or dis-claimed the existence of universel form generating primes?

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score 100 · Answer 8 · 2018-05-02 14:19:25

100

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score 75 · Answer 9 · 2018-05-03 12:38:17

75

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score 63 · Answer 10 · 2026-03-25 04:43:50

63

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Published on 25 Mar 2026 - 4:43

score 925 · Answer 11 · 2018-05-05 00:43:11

925

Views

How this :$\int_{-\infty}^{+\infty} {\exp^{kx^2}(-x^2)}=\frac{2\Gamma(\frac 5 4)}{k^{\frac 1 4}}$ for $k > 0$?

Published on 05 May 2018 - 0:43

score 124 · Answer 12 · 2018-05-08 13:52:38

124

Views

On $\int_0^1\left(\int_0^\infty\frac{\operatorname{gd}(x+y)}{\exp(x+y)}dx\right)dy$, being $\operatorname{gd}(u)$ the Gudermannian function

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score 574 · Answer 13 · 2018-05-10 14:31:20

574

Views

Integral $\int^{\frac{\pi}{6}}_{0}\ln^2(2\sin \theta)d\theta$

Published on 10 May 2018 - 14:31

score 200 · Answer 14 · 2018-05-10 15:31:36

200

Views

Closed form for $\ln(2\ln(3\ln(4\ln(5\ln(6…)))))$

Published on 10 May 2018 - 15:31

score 129 · Answer 15 · 2018-05-11 02:15:05

129

Views

Closed-form expression of a tricky integral

Published on 11 May 2018 - 2:15

List Question

Closed form for $Q_{m}(x)=\sum _{n=0}^{\infty } \frac{ (-1)^n}{n+m}\frac{x^{n}}{n!}$

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