DLMF:7.5.E11 (Q2357)

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Language	Label	Description	Also known as
English	DLMF:7.5.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle|\mathcal{F}\left(x\right)|^{2}={\mathrm{f}^{2}}% \left(x\right)+{\mathrm{g}^{2}}\left(x\right),}}

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DLMF:7.5.E11

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{\displaystyle{\displaystyle x\geq 0}}

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auxiliary function for Fresnel integrals

Defining formula

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

C7.S2.E10.m2aedec

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auxiliary function for Fresnel integrals

Defining formula

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

C7.S2.E11.m2aedec

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Fresnel integral

Defining formula

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

C7.S2.E6.m2abdec

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Defining formula

{\displaystyle{\displaystyle x}}

C7.S1.XMD1.m1dec

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Sitelinks

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