DLMF:7.5.E10 (Q2356)

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Language	Label	Description	Also known as
English	DLMF:7.5.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{g}\left(z\right)\pm i\mathrm{f}\left(z% \right)=\tfrac{1}{2}(1\pm i)e^{\zeta^{2}}\operatorname{erfc}\zeta.}}

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DLMF:7.5.E10

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auxiliary function for Fresnel integrals

Defining formula

{\displaystyle{\displaystyle\mathrm{f}\left(\NVar{z}\right)}}

C7.S2.E10.m2addec

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auxiliary function for Fresnel integrals

Defining formula

{\displaystyle{\displaystyle\mathrm{g}\left(\NVar{z}\right)}}

C7.S2.E11.m2addec

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complementary error function

Defining formula

{\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}

C7.S2.E2.m2adec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2addec

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Defining formula

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

C1.S9.E1.m2agdec

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Defining formula

{\displaystyle{\displaystyle z}}

C7.S1.XMD2.m1idec

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change of variable (locally)

Defining formula

{\displaystyle{\displaystyle\zeta}}

C7.S5.XMD1.m1cdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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