DLMF:20.5.E13 (Q6780)

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Language	Label	Description	Also known as
English	DLMF:20.5.E13	No description defined

Statements

Defining formula

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

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DLMF:20.5.E13

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Defining formula

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

C20.S2.SS1.m2agdec

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cosine function

Defining formula

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

C4.S14.E2.m2aidec

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Defining formula

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

C4.S14.E1.m2afdec

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Defining formula

{\displaystyle{\displaystyle n}}

C20.S1.XMD2.m1ldec

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Defining formula

{\displaystyle{\displaystyle z}}

C20.S1.XMD3.m1ldec

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Defining formula

{\displaystyle{\displaystyle q}}

C20.S1.XMD5.m1hdec

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Sitelinks

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