DLMF:7.5.E1 (Q2347)

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Language	Label	Description	Also known as
English	DLMF:7.5.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle F\left(z\right)=\tfrac{1}{2}i\sqrt{\pi}\left(e^{-% z^{2}}-w\left(z\right)\right)=-\tfrac{1}{2}i\sqrt{\pi}e^{-z^{2}}\operatorname{% erf}\left(iz\right).}}

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DLMF:7.5.E1

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Dawson’s integral

Defining formula

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

C7.S2.E5.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\operatorname{erf}\NVar{z}}}

C7.S2.E1.m2adec

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Faddeeva (or Faddeyeva) function

Defining formula

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

C7.S2.E3.m2adec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle z}}

C7.S1.XMD2.m1dec

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Sitelinks

Wikipedia(0 entries)

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