DLMF:20.5.E9 (Q6776)

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Language	Label	Description	Also known as
English	DLMF:20.5.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\theta_{3}\left(\pi z\middle|\tau\right)=\sum_{n=-% \infty}^{\infty}p^{2n}q^{n^{2}}\\ =\prod_{n=1}^{\infty}\left(1-q^{2n}\right)\left(1+q^{2n-1}p^{2}\right)\left(1+% q^{2n-1}p^{-2}\right),}}

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DLMF:20.5.E9

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Defining formula

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

C20.S2.SS1.m1addec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2addec

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Defining formula

{\displaystyle{\displaystyle n}}

C20.S1.XMD2.m1hdec

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Defining formula

{\displaystyle{\displaystyle z}}

C20.S1.XMD3.m1hdec

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Defining formula

{\displaystyle{\displaystyle\tau}}

C20.S1.XMD4.m1ddec

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Defining formula

{\displaystyle{\displaystyle q}}

C20.S1.XMD5.m1ddec

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