DLMF:22.8.E11 (Q6976): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:22.8.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{ds}(u+v)=\frac{\operatorname{ds}u% \operatorname{cs}v\operatorname{ns}v-\operatorname{ds}v\operatorname{cs}u% \operatorname{ns}u}{{\operatorname{cs}^{2}}v-{\operatorname{cs}^{2}}u},}}

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DLMF:22.8.E11

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Jacobian elliptic function

Defining formula

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

C22.S2.E9.m3aadec

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Jacobian elliptic function

Defining formula

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

C22.S2.E7.m3aadec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m3aadec

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Defining formula

{\displaystyle{\displaystyle u}}

C22.S8.XMD1.m1jdec

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Defining formula

{\displaystyle{\displaystyle v}}

C22.S8.XMD2.m1jdec

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