dawson - Maple Programming Help

dawson

Dawson's integral

 Calling Sequence dawson(x)

Parameters

 x - expression

Description

 • Dawson's integral is defined as follows:

$\mathrm{dawson}\left(x\right)={ⅇ}^{-{x}^{2}}\left({∫}_{0}^{x}{ⅇ}^{{t}^{2}}\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}ⅆt\right)$

Examples

 > $\mathrm{dawson}\left(2.5\right)$
 ${0.2230837222}$ (1)
 > $\frac{ⅆ}{ⅆx}\mathrm{dawson}\left(x\right)$
 ${1}{-}{2}{}{x}{}{\mathrm{dawson}}{}\left({x}\right)$ (2)
 > $\mathrm{convert}\left(\mathrm{dawson}\left(x\right),\mathrm{erf}\right)$
 ${-}\frac{\frac{{1}}{{2}}{}{I}{}\sqrt{{\mathrm{π}}}{}{\mathrm{erf}}{}\left({I}{}{x}\right)}{{{ⅇ}}^{{{x}}^{{2}}}}$ (3)