[Scilab-users] Cauchy Integral query
Lester Anderson
arctica1963 at gmail.com
Wed Jan 5 09:46:47 CET 2022
Hello,
I am trying to understand how to work the Cauchy integral inputs and
replicate the results of a published example:
.e.g. Compute the integral of e^(z^2) / (z-2) assumes C is closed
(anticlockwise) and z=2 is inside C (a simple circle). The solution should
be 2*pi*i*f(2) = 2*pi*i*e^4
In Scilab, the solution is defined from the Cauchy Integral (intl):
y = intl(a, b, z0, r, f)
a and b are real and z complex
function y=f(z)
y = exp((z^2)) // solution uses f(z) = e^(z^2)
endfunction
fz=intl(0, 2*%pi, 2+0*%i, 1, f) // gives round-off error
// z position +2(real z), 0(imaginary z)
Probably not setting up the inputs correctly; any guidance would be
helpful. All a learning exercise.
Thanks
Lester
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