dawson

dawson (x)

The dawson function returns the value of the Dawson integral:

$$\displaystyle F(x)=\exp \left(-x^{2}\right) \int_{0}^{x} \exp \left(t^{2}\right) d t .$$

If x is real, dawson returns a real result. If x is complex, dawson returns a complex result.

References

Abramowitz, M., and I.A. Stegun, "Handbook of Mathematical Functions", 298 pp., Dover, New York, 1972.

The code used to compute the Dawson integral was written by Steven G. Johnson of MIT. See http://ab-initio.mit.edu/Faddeeva