Timeline for Are these continued fractions of integrals known?
Current License: CC BY-SA 4.0
16 events
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| S Nov 30, 2023 at 22:03 | history | bounty ended | CommunityBot | ||
| S Nov 30, 2023 at 22:03 | history | notice removed | CommunityBot | ||
| Nov 23, 2023 at 13:22 | comment | added | Alexey Ustinov | Are there any reasons to define such a transformation? | |
| S Nov 22, 2023 at 20:57 | history | bounty started | TheSimpliFire | ||
| S Nov 22, 2023 at 20:57 | history | notice added | TheSimpliFire | Canonical answer required | |
| Nov 21, 2023 at 20:55 | history | edited | TheSimpliFire | CC BY-SA 4.0 |
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| Nov 21, 2023 at 20:45 | history | edited | TheSimpliFire | CC BY-SA 4.0 |
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| S Jun 17, 2023 at 20:08 | history | bounty ended | CommunityBot | ||
| S Jun 17, 2023 at 20:08 | history | notice removed | CommunityBot | ||
| Jun 15, 2023 at 7:57 | comment | added | user42355 | It is not hard to prove that the function is meromorphic. The plots are a bit misleading: the function has (probably infinitely many) negative poles, and the oscillatory behavior is also present for $s>0$, only the amplitudes are smaller, so the function is not monotone decreasing for $s>0$, because of the oscillations. The period of the oscillations seems to be $\frac{4}{e}$. I think this should be related to $\frac{s^n}{n!}$ becoming approximately $1$ at around $n \approx e s$, so the fractional part of $e s$ should have some control over the value. | |
| S Jun 9, 2023 at 18:08 | history | bounty started | TheSimpliFire | ||
| S Jun 9, 2023 at 18:08 | history | notice added | TheSimpliFire | Canonical answer required | |
| Jun 8, 2023 at 21:28 | comment | added | Somos | The almost regular oscillating behavior over the negative reals is clear to see, but what about the monotonic behavior over the positive reals? How fast does it decay to zero? | |
| Jun 8, 2023 at 8:02 | history | edited | TheSimpliFire | CC BY-SA 4.0 |
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| Jun 8, 2023 at 7:52 | history | edited | TheSimpliFire | CC BY-SA 4.0 |
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| Jun 7, 2023 at 18:04 | history | asked | TheSimpliFire | CC BY-SA 4.0 |