DLMF:7.11.E6 (Q2408)

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Language	Label	Description	Also known as
English	DLMF:7.11.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle C\left(z\right)+iS\left(z\right)=zM\left(\tfrac{1% }{2},\tfrac{3}{2},\tfrac{1}{2}\pi iz^{2}\right)=ze^{\pi iz^{2}/2}M\left(1,% \tfrac{3}{2},-\tfrac{1}{2}\pi iz^{2}\right).}}

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DLMF:7.11.E6

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Fresnel integral

Defining formula

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

C7.S2.E7.m2adec

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Fresnel integral

Defining formula

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

C7.S2.E8.m2adec

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$$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}

C13.S2.E2.m2aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aedec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2abdec

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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.m1edec

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Sitelinks

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