Question

On the integral $\int_{e}^{\infty}\frac{t^{1/2}}{\log^{1/2}\left(t\right)}\alpha^{-t/\log\left(t\right)}dt,\,\alpha>1.$

score 241 · Answer 1 · 2017-02-06 12:05:27

241

Views

On the integral $\int_{e}^{\infty}\frac{t^{1/2}}{\log^{1/2}\left(t\right)}\alpha^{-t/\log\left(t\right)}dt,\,\alpha>1.$

Published on 06 Feb 2017 - 12:05

score 263 · Answer 2 · 2017-02-07 14:56:14

263

Views

A closed form for $\sum _{j=0}^{\infty } -\frac{\zeta (-j)}{\Gamma (j)}$

Published on 07 Feb 2017 - 14:56

score 235 · Answer 3 · 2026-03-26 11:15:59

235

Views

Closed form for $\sum\limits_{n=1}^\infty\frac{W(n^2)}{n^2}$

Published on 26 Mar 2026 - 11:15

score 241 · Answer 4 · 2017-02-09 00:13:19

241

Views

Closed form of $\sum_{n=0}^{\infty} \frac{\cos(\alpha \, n)}{n!}$

Published on 09 Feb 2017 - 0:13

score 490 · Answer 5 · 2026-03-25 20:42:18

490

Views

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score 75 · Answer 6 · 2017-02-09 19:27:06

75

Views

Approximated and exact solutions of an equation

Published on 09 Feb 2017 - 19:27

score 86 · Answer 7 · 2017-02-10 10:06:48

86

Views

Closed form for $\sum_{i=1}^n 1/\log(i)$

Published on 10 Feb 2017 - 10:06

score 210 · Answer 8 · 2026-03-27 04:38:45

210

Views

Mathematical reasoning to get closed-forms or nice definite integrals from these outputs of Wolfram Alpha

Published on 27 Mar 2026 - 4:38

score 52 · Answer 9 · 2026-03-27 11:46:49

52

Views

Criticize and/or argue about a natural factorization for the Apéry constant

Published on 27 Mar 2026 - 11:46

score 1k · Answer 10 · 2017-02-13 17:32:34

1k

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score 82 · Answer 11 · 2017-02-13 20:38:26

82

Views

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score 176 · Answer 12 · 2017-02-14 09:32:56

176

Views

Does $\int_0^a e^{-bt-c/t} dt$ have a closed-form expression?

Published on 14 Feb 2017 - 9:32

score 2.8k · Answer 13 · 2026-03-26 12:13:57

2.8k

Views

How to check for perfect numbers?

Published on 26 Mar 2026 - 12:13

score 221 · Answer 14 · 2017-02-17 07:37:42

221

Views

How can we show that $\int_{0}^{\infty}x\sin{x}\ln{(1-e^{-x})}\mathrm dx=1-{\pi\over 2\tanh\pi}-{\pi^2\over 2\sinh^2{\pi}}?$

Published on 17 Feb 2017 - 7:37

score 264 · Answer 15 · 2017-02-18 11:57:52

264

Views

Closed form for Logarithmic equation

Published on 18 Feb 2017 - 11:57

List Question

On the integral $\int_{e}^{\infty}\frac{t^{1/2}}{\log^{1/2}\left(t\right)}\alpha^{-t/\log\left(t\right)}dt,\,\alpha>1.$

A closed form for $\sum _{j=0}^{\infty } -\frac{\zeta (-j)}{\Gamma (j)}$

Closed form for $\sum\limits_{n=1}^\infty\frac{W(n^2)}{n^2}$

Closed form of $\sum_{n=0}^{\infty} \frac{\cos(\alpha \, n)}{n!}$

Evaluating $\prod_p(1\pm\frac{4}{p^2})$ in Closed Form

Approximated and exact solutions of an equation

Closed form for $\sum_{i=1}^n 1/\log(i)$

Mathematical reasoning to get closed-forms or nice definite integrals from these outputs of Wolfram Alpha

Criticize and/or argue about a natural factorization for the Apéry constant

Closed form solution of a difference equation

Closed form for a series II

Does $\int_0^a e^{-bt-c/t} dt$ have a closed-form expression?

How to check for perfect numbers?

How can we show that $\int_{0}^{\infty}x\sin{x}\ln{(1-e^{-x})}\mathrm dx=1-{\pi\over 2\tanh\pi}-{\pi^2\over 2\sinh^2{\pi}}?$

Closed form for Logarithmic equation

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