DLMF:20.5.E14 (Q6781)

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Language	Label	Description	Also known as
English	DLMF:20.5.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\theta_{1}\left(z\middle|\tau\right)=z\theta_{1}'% \left(0\middle|\tau\right)\*\lim_{N\to\infty}\prod_{n=-N}^{N}\lim_{M\to\infty}% \prod_{\begin{subarray}{c}m=-M\\ \left|m\right|+\left|n\right|\neq 0\end{subarray}}^{M}\left(1+\frac{z}{(m+n% \tau)\pi}\right),}}

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DLMF:20.5.E14

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Defining formula

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

C20.S2.SS1.m1aedec

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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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Defining formula

{\displaystyle{\displaystyle m}}

C20.S1.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle n}}

C20.S1.XMD2.m1mdec

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Defining formula

{\displaystyle{\displaystyle z}}

C20.S1.XMD3.m1mdec

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Defining formula

{\displaystyle{\displaystyle\tau}}

C20.S1.XMD4.m1edec

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