DLMF:7.6.E7 (Q2366)

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Language	Label	Description	Also known as
English	DLMF:7.6.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle S\left(z\right)=-\cos\left(\tfrac{1}{2}\pi z^{2}% \right)\sum_{n=0}^{\infty}\frac{(-1)^{n}\pi^{2n+1}}{1\cdot 3\cdots(4n+3)}z^{4n% +3}+\sin\left(\tfrac{1}{2}\pi z^{2}\right)\sum_{n=0}^{\infty}\frac{(-1)^{n}\pi% ^{2n}}{1\cdot 3\cdots(4n+1)}z^{4n+1}.}}

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DLMF:7.6.E7

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Fresnel integral

Defining formula

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

C7.S2.E8.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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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2aadec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle z}}

C7.S1.XMD2.m1fdec

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Defining formula

{\displaystyle{\displaystyle n}}

C7.S1.XMD3.m1fdec

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