DLMF:22.8.E18 (Q6983)

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Language	Label	Description	Also known as
English	DLMF:22.8.E18	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{dn}(u+v)=\frac{\operatorname{cn}u% \operatorname{dn}u\operatorname{cn}v\operatorname{dn}v+{k^{\prime}}^{2}% \operatorname{sn}u\operatorname{sn}v}{\operatorname{cn}u\operatorname{cn}v+% \operatorname{sn}u\operatorname{dn}u\operatorname{sn}v\operatorname{dn}v}.}}

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DLMF:22.8.E18

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m2ahdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2ahdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2ahdec

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Defining formula

{\displaystyle{\displaystyle u}}

C22.S8.XMD4.m1edec

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Sitelinks

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