Formula:3057

Digital Library of Mathematical Functions ID 7.5.E13

${\displaystyle{\displaystyle G\left(x\right)=\sqrt{\pi}F\left(x\right)-\tfrac{1}{2}e^{-x^{2}}\mathrm{Ei}\left(x^{2}\right),}}$

Constraint(s)

${\displaystyle{\displaystyle x>0}}$

Symbols List

• ${\displaystyle{\displaystyle F\left(\NVar{z}\right)}}$: Dawson’s integral
• ${\displaystyle{\displaystyle G\left(\NVar{z}\right)}}$: Goodwin–Staton integral
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{Ei}\left(\NVar{x}\right)}}$:
• ${\displaystyle{\displaystyle x}}$: real variable
 

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