DLMF:7.5.E12 (Q2358)

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Language	Label	Description	Also known as
English	DLMF:7.5.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle|\mathcal{F}\left(x\right)|^{2}=2+{\mathrm{f}^{2}}% \left(-x\right)+{\mathrm{g}^{2}}\left(-x\right)-2\sqrt{2}\cos\left(\tfrac{1}{4% }\pi+\tfrac{1}{2}\pi x^{2}\right)\mathrm{f}\left(-x\right)-2\sqrt{2}\cos\left(% \tfrac{1}{4}\pi-\tfrac{1}{2}\pi x^{2}\right)\mathrm{g}\left(-x\right),}}

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DLMF:7.5.E12

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{\displaystyle{\displaystyle x\leq 0}}

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auxiliary function for Fresnel integrals

Defining formula

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

C7.S2.E10.m2afdec

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auxiliary function for Fresnel integrals

Defining formula

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

C7.S2.E11.m2afdec

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Fresnel integral

Defining formula

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

C7.S2.E6.m2acdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2agdec

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Sitelinks

Wikipedia(0 entries)

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