DLMF:20.6.E4 (Q6788)

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Language	Label	Description	Also known as
English	DLMF:20.6.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\theta_{3}\left(\pi z\middle|\tau\right)=\theta_{3% }\left(0\middle|\tau\right)\exp\left(-\sum_{j=1}^{\infty}\frac{1}{2j}\beta_{2j% }(\tau)z^{2j}\right),}}

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DLMF:20.6.E4

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Defining formula

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

C20.S2.SS1.m1abdec

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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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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2abdec

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Defining formula

{\displaystyle{\displaystyle z}}

C20.S1.XMD3.m1cdec

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Defining formula

{\displaystyle{\displaystyle\tau}}

C20.S1.XMD4.m1bdec

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coefficient (locally)

Defining formula

{\displaystyle{\displaystyle\beta_{2j}(\tau)}}

C20.S6.XMD3.m1dec

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Sitelinks

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