DLMF:22.12.E9 (Q7047): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:22.12.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle 2Kk^{\prime}\operatorname{nc}\left(2Kt,k\right)=% \sum_{n=-\infty}^{\infty}\frac{(-1)^{n}\pi}{\sin\left(\pi(t+\frac{1}{2}-n\tau)% \right)}=\sum_{n=-\infty}^{\infty}\left(\sum_{m=-\infty}^{\infty}\frac{(-1)^{m% +n}}{t+\frac{1}{2}-m-n\tau}\right),}}

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DLMF:22.12.E9

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Jacobian elliptic function

Defining formula

{\displaystyle{\displaystyle\operatorname{nc}\left(\NVar{z},\NVar{k}\right)}}

C22.S2.E5.m3adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2agdec

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Defining formula

{\displaystyle{\displaystyle K\left(\NVar{k}\right)}}

C19.S2.E8.m1ahdec

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Defining formula

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

C4.S14.E1.m2aedec

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