Timeline for Power series equation with solution $1/e$ [closed]
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 8, 2019 at 3:05 | review | Reopen votes | |||
| Aug 8, 2019 at 13:02 | |||||
| Jul 29, 2019 at 20:53 | vote | accept | user2718 | ||
| Jul 29, 2019 at 20:50 | comment | added | Todd Trimble | @Kostya_I Yes, thanks very much, but let's perhaps try to be generous as Matt F. suggests. | |
| Jul 29, 2019 at 20:50 | review | Reopen votes | |||
| Jul 30, 2019 at 1:27 | |||||
| Jul 29, 2019 at 20:39 | comment | added | user44143 | @Kostya_I, the question uses the word "classical", which could be charitably interpreted here as "coming from a function satisfying a differential equation with rational coefficients". That may make the question more interesting. | |
| Jul 29, 2019 at 20:33 | comment | added | Steven Landsburg | I failed to note condition that the coefficients are integers and voted to hastily to close. Apparently it's too late to retract the close vote, so voted to reopen. | |
| Jul 29, 2019 at 20:31 | comment | added | Iosif Pinelis | @Kostya_I : I had the same idea, recorded in my answer, except it must be the largest, not the smallest. :-) | |
| Jul 29, 2019 at 20:30 | history | closed |
Arturo Magidin YCor user44191 Kostya_I Steven Landsburg |
Not suitable for this site | |
| Jul 29, 2019 at 20:28 | comment | added | Kostya_I | @ToddTrimble, isn't it obvious that we can cook up such a series for any positive number smaller than $1$? Just take $a_0:=0$ and inductively $a_i$ to be the largest positive integer such that the partial sum is still smaller than 1? | |
| Jul 29, 2019 at 20:19 | answer | added | Iosif Pinelis | timeline score: 5 | |
| Jul 29, 2019 at 20:04 | comment | added | Todd Trimble | To people voting to close: is the answer so obvious? Let's discard the smart-aleck solution $a_0 = 1, a_i = 0$ for $i \geq 1$. | |
| Jul 29, 2019 at 20:01 | comment | added | user44143 | The Taylor series for $\ln(1+x)$ has fractional coefficients, so it doesn't seem to help...but I don't see an obvious argument that settles this. | |
| Jul 29, 2019 at 20:00 | review | Close votes | |||
| Jul 29, 2019 at 20:35 | |||||
| Jul 29, 2019 at 19:58 | history | edited | user44143 | CC BY-SA 4.0 |
corrected spelling, improved formatting
|
| Jul 29, 2019 at 19:41 | history | asked | user2718 | CC BY-SA 4.0 |