Question

Is there closed form for $\sum_{k=1}^\infty (-1)^k\frac{H_k^{(4)}}{k^2}$?

score 240 · Answer 1 · 2026-03-27 06:07:48

240

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Is there closed form for $\sum_{k=1}^\infty (-1)^k\frac{H_k^{(4)}}{k^2}$?

Published on 27 Mar 2026 - 6:07

score 95 · Answer 2 · 2020-02-12 22:31:39

95

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Find a recursive formula for a closed formula recursively at infinity

Published on 12 Feb 2020 - 22:31

score 77 · Answer 3 · 2026-03-25 19:07:21

77

Views

Integral inequality $\int_{\frac{1}{2}}^{1}x^x\operatorname{W(x)}\operatorname{dx}<\frac{1}{9c-15}$

Published on 25 Mar 2026 - 19:07

score 241 · Answer 4 · 2020-02-15 00:31:09

241

Views

Closed-form expression for $F(x,y) = \int_0^1 \frac{\sqrt{t(1-t)}}{(t+x)^2 (t+y)} \mathrm{d}t$?

Published on 15 Feb 2020 - 0:31

score 70 · Answer 5 · 2020-02-15 09:18:35

70

Views

Is there any closed form for $\sum_{k=0}^n\frac{x^k}{k!}$?

Published on 15 Feb 2020 - 9:18

score 201 · Answer 6 · 2026-03-26 08:00:43

201

Views

Verifying $\int_0^1 \ln^2x\ln(1+x)\operatorname{Li}_3\left(\frac1x\right)\ dx$

Published on 26 Mar 2026 - 8:00

score 110 · Answer 7 · 2020-02-16 01:02:56

110

Views

Prove that $X(a)$ is closed and boundary set in metric space $(C[0,1], d_{\sup})$

Published on 16 Feb 2020 - 1:02

score 82 · Answer 8 · 2020-02-17 01:57:14

82

Views

Closed-form expression for maximization problem with binary decision variable

Published on 17 Feb 2020 - 1:57

score 85 · Answer 9 · 2026-03-30 16:41:45

85

Views

Closed formula for a sequence

Published on 30 Mar 2026 - 16:41

score 850 · Answer 10 · 2020-02-19 05:47:28

850

Views

On the alternating quadratic Euler sum $\sum_{n = 1}^\infty \frac{(-1)^n H_n H_{2n}}{n^2}$

Published on 19 Feb 2020 - 5:47

score 57 · Answer 11 · 2026-03-30 08:12:38

57

Views

Generating function containing Incomplete gamma function

Published on 30 Mar 2026 - 8:12

score 118 · Answer 12 · 2020-02-21 08:57:41

118

Views

Evaluate $f(n,j)=\sum _{k=0}^n k^{2 j} (-1)^{n-k} \binom{2 n}{n-k}$

Published on 21 Feb 2020 - 8:57

score 201 · Answer 13 · 2020-02-21 14:15:49

201

Views

Is there any closed form for $\sum_{k=0}^{n}k^{r}\binom{n}{k}$?

Published on 21 Feb 2020 - 14:15

score 52 · Answer 14 · 2026-03-25 11:05:19

52

Views

Sum involving 2nd antiderivative of the digamma function.

Published on 25 Mar 2026 - 11:05

score 64 · Answer 15 · 2026-03-27 20:55:00

64

Views

Closed form for a multilinear skew-symmetric map applied in sums?

Published on 27 Mar 2026 - 20:55

List Question

Is there closed form for $\sum_{k=1}^\infty (-1)^k\frac{H_k^{(4)}}{k^2}$?

Find a recursive formula for a closed formula recursively at infinity

Integral inequality $\int_{\frac{1}{2}}^{1}x^x\operatorname{W(x)}\operatorname{dx}<\frac{1}{9c-15}$

Closed-form expression for $F(x,y) = \int_0^1 \frac{\sqrt{t(1-t)}}{(t+x)^2 (t+y)} \mathrm{d}t$?

Is there any closed form for $\sum_{k=0}^n\frac{x^k}{k!}$?

Verifying $\int_0^1 \ln^2x\ln(1+x)\operatorname{Li}_3\left(\frac1x\right)\ dx$

Prove that $X(a)$ is closed and boundary set in metric space $(C[0,1], d_{\sup})$

Closed-form expression for maximization problem with binary decision variable

Closed formula for a sequence

On the alternating quadratic Euler sum $\sum_{n = 1}^\infty \frac{(-1)^n H_n H_{2n}}{n^2}$

Generating function containing Incomplete gamma function

Evaluate $f(n,j)=\sum _{k=0}^n k^{2 j} (-1)^{n-k} \binom{2 n}{n-k}$

Is there any closed form for $\sum_{k=0}^{n}k^{r}\binom{n}{k}$?

Sum involving 2nd antiderivative of the digamma function.

Closed form for a multilinear skew-symmetric map applied in sums?

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