DLMF:7.5.E8 (Q2354)

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No description defined

Language	Label	Description	Also known as
English	DLMF:7.5.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle C\left(z\right)\pm iS\left(z\right)=\tfrac{1}{2}(% 1\pm i)\operatorname{erf}\zeta.}}

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DLMF:7.5.E8

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Fresnel integral

Defining formula

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

C7.S2.E7.m2acdec

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Fresnel integral

Defining formula

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

C7.S2.E8.m2acdec

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Defining formula

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

C7.S2.E1.m2aadec

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Defining formula

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

C1.S9.E1.m2aedec

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Defining formula

{\displaystyle{\displaystyle z}}

C7.S1.XMD2.m1gdec

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change of variable (locally)

Defining formula

{\displaystyle{\displaystyle\zeta}}

C7.S5.XMD1.m1adec

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Sitelinks

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