DLMF:7.5.E13 (Q2359)

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No description defined

Language	Label	Description	Also known as
English	DLMF:7.5.E13	No description defined

Statements

Defining formula

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

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DLMF:7.5.E13

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{\displaystyle{\displaystyle x>0}}

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Dawson’s integral

Defining formula

{\displaystyle{\displaystyle F\left(\NVar{z}\right)}}

C7.S2.E5.m2aadec

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Goodwin–Staton integral

Defining formula

{\displaystyle{\displaystyle G\left(\NVar{z}\right)}}

C7.S2.E12.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ahdec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2aedec

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Defining formula

{\displaystyle{\displaystyle\mathrm{Ei}\left(\NVar{x}\right)}}

C6.S2.SS1.p3.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C7.S1.XMD1.m1bdec

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Sitelinks

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