DLMF:20.7.E33 (Q6828)

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Language	Label	Description	Also known as
English	DLMF:20.7.E33	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle(-i\tau)^{1/2}\theta_{4}\left(z\middle|\tau\right)% =\exp\left(i\tau^{\prime}z^{2}/\pi\right)\theta_{2}\left(z\tau^{\prime}\middle% |\tau^{\prime}\right).}}

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DLMF:20.7.E33

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Defining formula

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

C20.S2.SS1.m1ardec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aldec

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exponential function

Defining formula

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

C4.S2.E19.m2acdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2aedec

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Defining formula

{\displaystyle{\displaystyle z}}

C20.S1.XMD3.m1acdec

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Defining formula

{\displaystyle{\displaystyle\tau}}

C20.S1.XMD4.m1rdec

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