Timeline for Inverse of (1+x) ln(1+x) - x
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Jul 9, 2010 at 19:57 | comment | added | Nick Harvey | Conversely, my estimates to g^{-1} imply estimates for W. Specifically, for all z>-1/e, I can prove W(z) <= ln( 2*(ez+1)/ln(1+sqrt(ez+1)) + 1)-1 and W(z) >= ln( 0.5*(ez+1)/ln(1+sqrt(ez+1)) + 1)-1 Is this obvious or well-known? The Taylor's series for W(z) around z=0 given at Wikipedia is only useful for z close to 0. My estimates are best for z close to -1/e, and have a constant additive error for z -> infinity. | |
| Jul 9, 2010 at 13:31 | comment | added | Nick Harvey | Thanks very much for this information, I was not familiar with Lambert-W. | |
| Jul 9, 2010 at 13:30 | vote | accept | Nick Harvey | ||
| Jul 8, 2010 at 17:08 | history | answered | mathphysicist | CC BY-SA 2.5 |