Timeline for Examples of sequences whose asymptotics can't be described by elementary functions
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Nov 12, 2010 at 21:33 | comment | added | Gerald Edgar | W(x) is asymptotic to log(x/log x), which is elementary. So W is in the same boat as Li(x), already mentioned. | |
| Nov 12, 2010 at 21:02 | history | edited | graveolensa | CC BY-SA 2.5 |
add reference to Gram Points
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| Nov 8, 2010 at 12:49 | comment | added | zhoraster | @Qiaochu Yuan: Yes, it can, as Fedor wrote. But is not helpful at all in many cases, as the usual series expansion for the W function converges very slowly. | |
| Nov 8, 2010 at 12:18 | comment | added | Fedor Petrov | It definitely may be described using elementary functions with any prescribed accuracy. (And in general, I would call inverses of elementary functions also "expressible by elementary functions"). | |
| Nov 8, 2010 at 12:12 | comment | added | Qiaochu Yuan | Is it known whether the asymptotic behavior of the W function can be described using elementary functions? | |
| Nov 8, 2010 at 11:30 | history | answered | graveolensa | CC BY-SA 2.5 |