DLMF:22.8.E8 (Q6973): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:22.8.E8	No description defined

Statements

Defining formula

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

0 references

DLMF:22.8.E8

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Jacobian elliptic function

Defining formula

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

C22.S2.E8.m3aadec

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m3aadec

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Jacobian elliptic function

Defining formula

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

C22.S2.E9.m2aadec

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Defining formula

{\displaystyle{\displaystyle u}}

C22.S8.XMD1.m1gdec

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Defining formula

{\displaystyle{\displaystyle v}}

C22.S8.XMD2.m1gdec

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