Timeline for A complex integration formula
Current License: CC BY-SA 4.0
8 events
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| Aug 4, 2019 at 9:44 | history | edited | J. M. isn't a mathematician | CC BY-SA 4.0 |
added 47 characters in body; edited tags
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| Aug 4, 2019 at 8:15 | comment | added | Gerald Edgar | Also may be written as $$f(a,b,c) = \int_{-1}^1\frac{e^{ax}\mathrm{erf}(bx+c)}{\sqrt{1-x^2}}\;dx$$ | |
| Aug 4, 2019 at 3:20 | comment | added | Knight Wang | I’m really sorry that I’ve made a mistake that is very obvious. Its calculation doesn’t involve Bessel function directly instead of error function. Only on the condition that b equals 0 and c equals 0, its calculation would involve Bessel function. What’s more, the correct formula will be: $f(a, b, c)=\int_{0}^{+\pi} d \theta \exp (a \cos \theta) e r f(b \cos \theta+c)$ I’ve modified the question and thanks to your suggestion. | |
| Aug 4, 2019 at 3:16 | history | edited | Knight Wang | CC BY-SA 4.0 |
deleted 27 characters in body; edited title
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| Aug 3, 2019 at 8:28 | history | edited | user64494 | CC BY-SA 4.0 |
A typo.
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| Aug 3, 2019 at 4:23 | comment | added | Michael Engelhardt | If you know the result contains a Bessel function, that seems to imply you've already done some computations that you're not telling us about - how about elaborating? And why are you saying $f$ depends on $\theta $? | |
| Aug 3, 2019 at 2:20 | review | First posts | |||
| Aug 3, 2019 at 6:14 | |||||
| Aug 3, 2019 at 2:15 | history | asked | Knight Wang | CC BY-SA 4.0 |