Timeline for Solution to $\int_{0}^{y} x^{-a} \exp \left[- \frac{(b - cx^{-d})^2}{2} \right] dx$
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 20, 2021 at 14:00 | vote | accept | Felipe Augusto de Figueiredo | ||
| Oct 18, 2021 at 0:41 | answer | added | Felipe Augusto de Figueiredo | timeline score: 3 | |
| Oct 17, 2021 at 19:28 | comment | added | username | If you are asking whether this integral is well defined, for any $a>0$ and $d>0$, the answer is that the integrand is equivalent near the origin to $x^{-\alpha}\exp( -\frac{c^2}{2}x^{-2d})$ so : - if $c=0$, it is finite only when $a<1$ - if $c\neq0$ it tends to zero very fast, and it therefore extendable by continuity. If you are asking for an explicit formula, math stack exchange is a better choice. | |
| Oct 17, 2021 at 18:50 | answer | added | Carlo Beenakker | timeline score: 4 | |
| Oct 17, 2021 at 18:48 | answer | added | Gerald Edgar | timeline score: 5 | |
| Oct 17, 2021 at 18:47 | comment | added | Felipe Augusto de Figueiredo | @CarloBeenakker the indefinite integral might also help. Thanks! | |
| Oct 17, 2021 at 18:45 | comment | added | Carlo Beenakker | you want the indefinite integral, if has a closed form expression for $b=0$, but not in general I think. | |
| Oct 17, 2021 at 17:21 | comment | added | Sidharth Ghoshal | This will probably attract more attention at math.stackexchange.com than here. I believe there are more integral-buffs hanging out there (Even for very hard integrals) than mathoverflow | |
| Oct 17, 2021 at 14:52 | history | edited | Felipe Augusto de Figueiredo | CC BY-SA 4.0 |
added 29 characters in body
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| Oct 17, 2021 at 14:41 | history | asked | Felipe Augusto de Figueiredo | CC BY-SA 4.0 |