DLMF:22.12.E12 (Q7050)

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Language	Label	Description	Also known as
English	DLMF:22.12.E12	No description defined

Statements

Defining formula

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

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DLMF:22.12.E12

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Jacobian elliptic function

Defining formula

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

C22.S2.E7.m3adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ajdec

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Defining formula

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

C19.S2.E8.m1akdec

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