DLMF:22.8.E7 (Q6972)

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Language	Label	Description	Also known as
English	DLMF:22.8.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{dc}(u+v)=\frac{\operatorname{dc}u% \operatorname{dc}v+{k^{\prime}}^{2}\operatorname{sc}u\operatorname{nc}u% \operatorname{sc}v\operatorname{nc}v}{1-{k^{\prime}}^{2}{\operatorname{sc}^{2}% }u{\operatorname{sc}^{2}}v},}}

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DLMF:22.8.E7

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Jacobian elliptic function

Defining formula

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

C22.S2.E8.m3adec

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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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Jacobian elliptic function

Defining formula

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

C22.S2.E9.m2adec

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Defining formula

{\displaystyle{\displaystyle u}}

C22.S8.XMD1.m1fdec

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Defining formula

{\displaystyle{\displaystyle v}}

C22.S8.XMD2.m1fdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S8.XMD3.m1fdec

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Sitelinks

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