DLMF:22.11.E12 (Q7036)

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Language	Label	Description	Also known as
English	DLMF:22.11.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{sc}\left(z,k\right)-\frac{\pi}{2Kk^{% \prime}}\tan\zeta=\frac{2\pi}{Kk^{\prime}}\sum_{n=1}^{\infty}\frac{(-1)^{n}q^{% 2n}\sin\left(2n\zeta\right)}{1+q^{2n}}.}}

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DLMF:22.11.E12

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Jacobian elliptic function

Defining formula

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

C22.S2.E9.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2akdec

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Defining formula

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

C19.S2.E8.m1akdec

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Defining formula

{\displaystyle{\displaystyle q}}

C22.S2.E1.m2akdec

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Defining formula

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

C4.S14.E1.m2aedec

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tangent function

Defining formula

{\displaystyle{\displaystyle\tan\NVar{z}}}

C4.S14.E4.m2adec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1kdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1kdec

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Sitelinks

Wikipedia(0 entries)

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