DLMF:22.6.E22 (Q6956)

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Language	Label	Description	Also known as
English	DLMF:22.6.E22	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{\operatorname{pq}^{2}}\left(\tfrac{1}{2}z,k\right% )=\frac{\operatorname{ps}\left(z,k\right)+\operatorname{rs}\left(z,k\right)}{% \operatorname{qs}\left(z,k\right)+\operatorname{rs}\left(z,k\right)}=\frac{% \operatorname{pq}\left(z,k\right)+\operatorname{rq}\left(z,k\right)}{1+% \operatorname{rq}\left(z,k\right)}=\frac{\operatorname{pr}\left(z,k\right)+1}{% \operatorname{qr}\left(z,k\right)+1}.}}

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DLMF:22.6.E22

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generic Jacobian elliptic function

Defining formula

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

C22.S2.E10.m2adec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1udec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1udec

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