Timeline for Algorithm for definite integral of rational functions of x and exp(-x)
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 12, 2016 at 13:49 | comment | added | Gerald Edgar | In case $x=0$ is a singularity of the integrand (i.e. the denominator is zero, not canceled by the numerator), then you may attempt to do it with residue methods. | |
| May 12, 2016 at 13:31 | answer | added | Alexandre Eremenko | timeline score: 1 | |
| May 12, 2016 at 13:16 | comment | added | Alexandre Eremenko | Here is a related question: mathoverflow.net/questions/226802/… | |
| May 12, 2016 at 9:39 | comment | added | Fetchinson0234 | Made the wording more precise. | |
| May 12, 2016 at 9:37 | history | edited | Fetchinson0234 | CC BY-SA 3.0 |
Made wording more precise.
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| May 12, 2016 at 8:28 | comment | added | Wolfgang | I guess you mean "functions that may appear IN definite integrals" instead of "as definite integrals". Please make the wording clearer. Is your idea to find some sort of recursion formula which allows to reduce such an integral to a similar one with e.g. $P$ and $Q$ of smaller total degrees? And before that: have you found any necessary or sufficient conditions on $P$ and $Q$ for the integral to exist? | |
| May 12, 2016 at 6:07 | comment | added | Manfred Weis | @AlexandreEremenko but could that number be calculated (at least in principle) without knowing the closed form of the indefinite integral, maybe utilizing function theory? | |
| May 11, 2016 at 20:11 | review | Close votes | |||
| May 12, 2016 at 15:49 | |||||
| May 11, 2016 at 19:52 | comment | added | Alexandre Eremenko | The integrals you wrote are numbers, not functions. What "class of functions" are you talking about in the first line? | |
| May 11, 2016 at 8:44 | history | asked | Fetchinson0234 | CC BY-SA 3.0 |