JDAWSON The Dawson function and its derivatives. [With P.J. Acklam] Y = JDAWSON(X) is Dawson's integral for each element of X, with X real. Dawson's integral F(x) is defined as F(x) = exp(-x^2) * integral from 0 to x of exp(t^2) dt The Dawson function is also the Hilbert transform of the Gaussian, see for example Lilly and Olhede (2009). This function was written almost entirely by P.J. Acklam and is redistributed with permission. __________________________________________________________________ Derivatives YN=JDAWSON(X,N) optionally returns the Nth derivatives of the Dawson function at positions X. A form for the derivatives of the JDAWSON function is given by Lilly and Olhede (2008b), and involves Hermite polynomials. __________________________________________________________________ See also ERF, ERFC, HERMPOLY. 'jdawson --t' runs a test. 'jdawson --f' generates a sample figure. Usage: y=jdawson(x); yn=jdawson(x,n); __________________________________________________________________ (C) 2004--2016 P.J. Acklam and J.M. Lilly --- type 'help jlab_license' for details