Timeline for Approximately Invert x^x
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Apr 4, 2010 at 14:26 | history | edited | Cam McLeman |
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| Apr 4, 2010 at 6:01 | vote | accept | Lones Smith | ||
| Apr 4, 2010 at 3:33 | comment | added | Dinesh | Mathworld(mathworld.wolfram.com/LambertW-Function.html) gives an asymptotic expression which if restricted to the first two terms gives $x \approx \frac{\log y}{\log \log y}$ as noted in gowers' answer. You can add more terms if need be to reach your desired level of accuracy. | |
| Apr 4, 2010 at 3:19 | comment | added | Dinesh | $g(y) = e^{W(\log y)}$ where $W(\cdot)$ is the Lambert W-function. Asymptotics of the Lambert W function is probably well studied. The Wikipedia article on the Lambert W function would be a good place to start. | |
| Apr 4, 2010 at 3:13 | answer | added | gowers | timeline score: 16 | |
| Apr 4, 2010 at 3:04 | history | asked | Lones Smith | CC BY-SA 2.5 |