Question

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

score 96 · Answer 1 · 2026-04-16 00:43:17

96

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

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score 89 · Answer 2 · 2026-05-10 19:52:41

89

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Closed form for a combinatorial series - Convolution.

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score 293 · Answer 3 · 2026-04-11 22:48:51

293

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score 222 · Answer 4 · 2026-05-10 12:54:56

222

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score 144 · Answer 5 · 2026-05-10 19:51:23

144

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score 129 · Answer 6 · 2026-05-10 19:51:30

129

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score 81 · Answer 7 · 2026-04-17 05:07:39

81

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score 103 · Answer 8 · 2026-04-13 17:32:42

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score 78 · Answer 9 · 2026-04-14 09:09:47

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score 66 · Answer 10 · 2026-05-10 19:55:37

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score 928 · Answer 11 · 2026-04-13 20:38:36

928

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

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score 127 · Answer 12 · 2026-04-15 18:40:48

127

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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 577 · Answer 13 · 2026-04-15 19:02:17

577

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

Published on 15 Apr 2026 - 19:02

score 203 · Answer 14 · 2026-04-15 04:31:28

203

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

Published on 15 Apr 2026 - 4:31

score 132 · Answer 15 · 2026-04-11 04:46:27

132

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List Question

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

Closed form for a combinatorial series - Convolution.

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

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