DLMF:20.5.E1 (Q6768)

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No description defined

Language	Label	Description	Also known as
English	DLMF:20.5.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\theta_{1}\left(z,q\right)=2q^{1/4}\sin z\prod% \limits_{n=1}^{\infty}{\left(1-q^{2n}\right)}{\left(1-2q^{2n}\cos\left(2z% \right)+q^{4n}\right)},}}

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DLMF:20.5.E1

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Defining formula

{\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}

C20.S2.SS1.m2adec

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cosine function

Defining formula

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

C4.S14.E2.m2adec

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Defining formula

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

C4.S14.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle n}}

C20.S1.XMD2.m1dec

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Defining formula

{\displaystyle{\displaystyle z}}

C20.S1.XMD3.m1dec

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Defining formula

{\displaystyle{\displaystyle q}}

C20.S1.XMD5.m1dec

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Sitelinks

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