DLMF:20.5.E10 (Q6777)

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Language	Label	Description	Also known as
English	DLMF:20.5.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{\theta_{1}'\left(z,q\right)}{\theta_{1}\left% (z,q\right)}-\cot z=4\sin\left(2z\right)\sum_{n=1}^{\infty}\frac{q^{2n}}{1-2q^% {2n}\cos\left(2z\right)+q^{4n}}=4\sum_{n=1}^{\infty}\frac{q^{2n}}{1-q^{2n}}% \sin\left(2nz\right),}}

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DLMF:20.5.E10

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Defining formula

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

C20.S2.SS1.m2addec

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cosine function

Defining formula

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

C4.S14.E2.m2afdec

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cotangent function

Defining formula

{\displaystyle{\displaystyle\cot\NVar{z}}}

C4.S14.E7.m2adec

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Defining formula

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

C4.S14.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle n}}

C20.S1.XMD2.m1idec

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Defining formula

{\displaystyle{\displaystyle z}}

C20.S1.XMD3.m1idec

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Defining formula

{\displaystyle{\displaystyle q}}

C20.S1.XMD5.m1edec

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