Timeline for Verification of an Cauchy's contour Integral of Complementary Error function?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 7, 2020 at 10:22 | comment | added | hasan | @CarloBeenakker I think I am wrong. It depends on $a,b,c,d$ | |
| Aug 7, 2020 at 10:05 | comment | added | Carlo Beenakker | indeed, no closed form expression as far as I can see. | |
| Aug 7, 2020 at 10:02 | comment | added | hasan | @CarloBeenakker does that mean the integration is not possible in close from? Can you give me a hint to do that. Yes I posted this in overflow as no one answered in MSE Thank you. | |
| Aug 7, 2020 at 9:47 | comment | added | Carlo Beenakker | the $z^\ast$ in your integrand is $1/z$ on the unit circle, so you have poles at the origin, the integrand is not analytic inside the unit circle; and indeed, the answer is incorrect, for example, for $a=b=c=d=1$ the integral equals $0.6268$ while $2\pi \,\text{erfc}(1)\text{erfc}(1)=0.1555.$ --- also crossposted at math.stackexchange.com/q/3781857/87355 | |
| Aug 7, 2020 at 4:40 | history | asked | hasan | CC BY-SA 4.0 |