Timeline for Is there a solution to $\int_{\lambda}^{y}(x-a)^{-b}x^{-c}\exp\left( -d x^{-e} \right)dx$?
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
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| Jan 2, 2022 at 15:01 | vote | accept | Felipe Augusto de Figueiredo | ||
| Dec 30, 2021 at 22:40 | history | edited | user44143 |
removed irrelevant tags
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| Dec 30, 2021 at 22:15 | answer | added | Carlo Beenakker | timeline score: 3 | |
| Dec 30, 2021 at 22:11 | comment | added | Dispersion | I think that Matt may be referring to is the following question: in what limits of your parameters are you interested? Even if there was a closed form for your integral, you are most likely interested in its behavior as certain parameters are small/large. It is not very interesting to just ask for a closed form without more mathematical context as right now your parameters are free to be located in essentially any part of a 7-dimensional hyperplane. | |
| Dec 30, 2021 at 19:25 | review | Close votes | |||
| Jan 4, 2022 at 3:04 | |||||
| Dec 30, 2021 at 18:24 | comment | added | Felipe Augusto de Figueiredo | Dear @MattF., what are the other kinds of solutions we can have? If you have something in mind, please, go ahead. It might not be what I'm expecting, but might help someone else. | |
| Dec 30, 2021 at 18:21 | comment | added | user44143 | There’s no reason to expect that a complicated integral has a closed form. So if the question stops there, I would vote to close it as not being research-level. But other questions about the integral could be appropriate, e.g.: what would you do with the closed form if you had it? | |
| Dec 30, 2021 at 18:18 | comment | added | Felipe Augusto de Figueiredo | Dear @MattF., I'm looking for a closed form solution. | |
| Dec 30, 2021 at 18:17 | comment | added | user44143 | Are you looking for a closer form for the integral? for a single zero in closed form? for a an integral expression for $y$ in terms of the other variables which makes the integral zero? for something else? | |
| Dec 30, 2021 at 18:11 | history | edited | user44143 | CC BY-SA 4.0 |
shortened inequalities for easier reading, made title agree with body
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| Dec 30, 2021 at 18:05 | comment | added | Felipe Augusto de Figueiredo | Dear @CarloBeenakker , do you think the additional information I've just added to the question can help solve it? | |
| Dec 30, 2021 at 18:01 | history | edited | Felipe Augusto de Figueiredo | CC BY-SA 4.0 |
added 34 characters in body
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| Dec 30, 2021 at 14:39 | comment | added | Carlo Beenakker | without any further conditions (smallness of some parameters?) a closed-form solution will not be forthcoming; also note the pole at $x=a$, how is it avoided? | |
| Dec 30, 2021 at 14:35 | history | asked | Felipe Augusto de Figueiredo | CC BY-SA 4.0 |