dawson
Compute the Dawson (scaled imaginary error) function.
Syntax
y = dawson(z)
Arguments
- z
- vector or matrix of real or complex numbers
- y
- vector or matrix of real or complex numbers (of same size than x).
Description
dawson computes the scaled imaginary error function, defined as
Examples
i = %i; x = [0, 0.01, 1, 100, i, 2*i, 4*i, 8*i, 1-i, 1+i, 2+i, 1e-4+2e-4*i].'; [x, dawson(x), dawson(-x)]
--> [x, dawson(x), dawson(-x)] ans = 0. + 0.i 0. + 0.i 0. + 0.i 0.01 + 0.i 0.0099993 + 0.i -0.0099993 + 0.i 1. + 0.i 0.5380795 + 0.i -0.5380795 + 0.i 100. + 0.i 0.0050003 + 0.i -0.0050003 + 0.i 0. + i 0. + 2.0300785i 0. - 2.0300785i 0. + 2.i 0. + 48.160012i 0. - 48.160012i 0. + 4.i 0. + 7875110.3i 0. - 7875110.3i 0. + 8.i 0. + 5.526D+27i 0. - 5.526D+27i 1. - i 0.9903731 + 0.6388731i -0.9903731 - 0.6388731i 1. + i 0.9903731 - 0.6388731i -0.9903731 + 0.6388731i 2. + i 0.1635394 - 0.1531246i -0.1635394 + 0.1531246i 0.0001 + 0.0002i 0.0001 + 0.0002i -0.0001 - 0.0002i
clf subplot(1,2,1) x = logspace(-20,20,100); y = dawson(x); // the imaginary part is zero plot("ll", x, y) xlabel x fontsize 3 title dawson(x) fontsize 3.5 xgrid(color("grey60")) subplot(1,2,2) x = logspace(-7,1,100); y = imag(dawson(x*%i)); // the real part is zero plot("ll", x, y) xlabel x fontsize 3 title imag(dawson(x.i)) fontsize 3.5 xgrid(color("grey60"))
Algorithms
This function is based on the Faddeeva package library.
See also
History
| Version | Description |
| 5.5.0 | Function dawson introduced |
| Report an issue | ||
| << calerf | Special Functions | delip >> |