DLMF:20.5.E8 (Q6775)

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Language	Label	Description	Also known as
English	DLMF:20.5.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\theta_{4}\left(z\middle|\tau\right)=\theta_{4}% \left(0\middle|\tau\right)\prod_{n=1}^{\infty}\frac{\sin\left((n-\tfrac{1}{2})% \pi\tau+z\right)\sin\left((n-\tfrac{1}{2})\pi\tau-z\right)}{{\sin^{2}}\left((n% -\tfrac{1}{2})\pi\tau\right)}.}}

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DLMF:20.5.E8

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Defining formula

{\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}% \right)}}

C20.S2.SS1.m1acdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2acdec

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Defining formula

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

C4.S14.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle n}}

C20.S1.XMD2.m1gdec

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Defining formula

{\displaystyle{\displaystyle z}}

C20.S1.XMD3.m1gdec

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Defining formula

{\displaystyle{\displaystyle\tau}}

C20.S1.XMD4.m1cdec

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Sitelinks

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