i need series representation for the equation of erfc(x) and maching with it in plot
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i need series representation for the equation of erfc(x) and maching with it in plot. there are series representation. taylor series is series expansion. in wolfram website (www.wolframalpha.com) you can write series erfc(x). you will find three or more series representation. i need one of these match with erfc(x) with function by k not x. like equation imges below (which one is good for matching plot figure )
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1133710/image.gif)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1133715/image.gif)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1133720/image.gif)
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Chunru
le 23 Sep 2022
x = 0.5;
format long
erfc(x)
for n=1:20
y(n) = erfc_by_series(x, n);
end
y'
function y= erfc_by_series(x, n)
t = x; % term inside sum for k=0
s = t;
for k=1:n
t = -t*x.^2/k;
s = s + t/(2*k+1);
end
y = 1 - 2/sqrt(pi)*s;
end
16 commentaires
Torsten
le 24 Sep 2022
erfc(x) is 1 - 2/sqrt(pi)*s.
Or didn't you look at what you posted as the first representation of erfc(x) ?
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