Timeline for Computing a sum involving factorials
Current License: CC BY-SA 4.0
20 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 28, 2021 at 14:12 | answer | added | qifeng618 | timeline score: 1 | |
| S Jan 3, 2021 at 10:01 | history | bounty ended | Nicolas | ||
| S Jan 3, 2021 at 10:01 | history | notice removed | Nicolas | ||
| Jan 3, 2021 at 10:01 | vote | accept | Nicolas | ||
| S Dec 27, 2020 at 20:13 | history | bounty started | Nicolas | ||
| S Dec 27, 2020 at 20:13 | history | notice added | Nicolas | Canonical answer required | |
| Dec 27, 2020 at 20:13 | history | edited | Nicolas | CC BY-SA 4.0 |
Added a new sufficient bound to answer the question --> motivates the starting bounty.
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| Dec 27, 2020 at 20:09 | review | Suggested edits | |||
| Dec 27, 2020 at 20:12 | |||||
| Dec 23, 2020 at 9:11 | answer | added | მამუკა ჯიბლაძე | timeline score: 4 | |
| Dec 22, 2020 at 18:03 | comment | added | Nicolas | @LuisFerroni Very interesting, thanks. I am going to have a look to these weighted Lah numbers. | |
| Dec 21, 2020 at 23:43 | comment | added | Luis Ferroni | Perhaps the weighted version of Lah numbers are useful, or at least simplify the expression. See here doi.org/10.1016/j.jcta.2020.105365 | |
| Dec 21, 2020 at 22:23 | comment | added | T. Amdeberhan | @მამუკაჯიბლაძე: the sum vanishes at values $\gamma>\min$ if all parameters are integers. So, $\min$ does not hurt. | |
| Dec 21, 2020 at 21:27 | comment | added | მამუკა ჯიბლაძე | @T.Amdeberhan Cannot power of 2 be dealt with using that $2-t$? It is this $\min$ which I do not see how to incorporate in a proof... | |
| Dec 21, 2020 at 21:25 | comment | added | T. Amdeberhan | @მამუკაჯიბლაძე; no, because of the power of 2 factor. | |
| Dec 21, 2020 at 21:15 | comment | added | მამუკა ჯიბლაძე | Empirically,$$\sum_{a,b}S(a,b)t^au^b=e^{\frac{(2-t)tu}{(1-t)^2}}$$ | |
| Dec 21, 2020 at 21:04 | comment | added | Nicolas | I think there's no closed form too. But who knows... anyway, an estimate would be enough for my purposes. In particular, something like $(2\beta')!$ would be good. | |
| Dec 21, 2020 at 21:01 | comment | added | მამუკა ჯიბლაძე | @T.Amdeberhan Because of $\min$? | |
| Dec 21, 2020 at 20:58 | comment | added | T. Amdeberhan | One thing I can assure is that: there is no closed form for this sum. | |
| Dec 21, 2020 at 20:34 | review | First posts | |||
| Dec 21, 2020 at 20:59 | |||||
| Dec 21, 2020 at 20:32 | history | asked | Nicolas | CC BY-SA 4.0 |