Timeline for How to evaluate $ \int_0^1{\mathrm e^{\mathrm i\pi x}x^x(1-x)^{1-x}\mathrm dx} $ and get $ \frac{\mathrm i\pi \mathrm e}{2\cdot3\cdot4} $?
Current License: CC BY-SA 4.0
19 events
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Sep 8, 2019 at 18:44 | vote | accept | xiaohuamao | ||
Aug 30, 2019 at 21:28 | answer | added | yarchik | timeline score: 14 | |
Aug 30, 2019 at 20:23 | answer | added | Dominic | timeline score: 2 | |
Aug 30, 2019 at 20:00 | comment | added | yarchik | And one more interesting link mathoverflow.net/questions/226875/… | |
Aug 30, 2019 at 19:58 | comment | added | yarchik | This is of relevance math.stackexchange.com/questions/958624/… and mathoverflow.net/questions/226870/… | |
Aug 30, 2019 at 9:02 | comment | added | yarchik | What would be the value of this post and its possible solution in a broader context? It's a sporadic integral and you already know the answer. One can invent many integrals computable by some method that MA cannot handle. More useful would be to consider a family of integrals so that people can learn how to evaluate. As for this one, I do not see how can it be computed by the contour integration. If you provide more details, someone may try to implement it. But the question again is, why? Most probably it would be a synthetic approach, with only some steps done by MA. Is it your expectation? | |
Aug 30, 2019 at 4:02 | history | edited | xiaohuamao | CC BY-SA 4.0 |
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Aug 30, 2019 at 2:48 | history | edited | Αλέξανδρος Ζεγγ | CC BY-SA 4.0 |
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Aug 29, 2019 at 23:42 | history | edited | xiaohuamao | CC BY-SA 4.0 |
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Aug 29, 2019 at 22:42 | history | edited | m_goldberg | CC BY-SA 4.0 |
Routine cleanup
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Aug 29, 2019 at 19:35 | review | Close votes | |||
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Aug 29, 2019 at 17:36 | comment | added | Αλέξανδρος Ζεγγ | Maybe it‘s a good idea to show more details about this method in the post. | |
Aug 29, 2019 at 16:44 | comment | added | xiaohuamao | @ΑλέξανδροςΖεγγ Standard contour traversing the line segment back and forth and avoiding the singularities by two circles. | |
Aug 29, 2019 at 13:16 | answer | added | Jack LaVigne | timeline score: 1 | |
Aug 29, 2019 at 11:51 | comment | added | Αλέξανδρος Ζεγγ | So, how to evaluate it by contour integral? | |
Aug 29, 2019 at 11:38 | history | edited | Αλέξανδρος Ζεγγ | CC BY-SA 4.0 |
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Aug 29, 2019 at 9:00 | history | tweeted | twitter.com/StackMma/status/1166999033191313409 | ||
Aug 29, 2019 at 3:54 | history | edited | xiaohuamao | CC BY-SA 4.0 |
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Aug 28, 2019 at 20:51 | history | asked | xiaohuamao | CC BY-SA 4.0 |