DLMF:22.16.E1 (Q7120)

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Language	Label	Description	Also known as
English	DLMF:22.16.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{am}\left(x,k\right)=\operatorname{% Arcsin}\left(\operatorname{sn}\left(x,k\right)\right),}}

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DLMF:22.16.E1

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Symbols defined

Jacobi’s amplitude function

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{\displaystyle{\displaystyle x\in\mathbb{R}}}

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2adec

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Defining formula

{\displaystyle{\displaystyle\in}}

introduction.Sx4.p1.t1.r10.m2adec

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general arcsine function

Defining formula

{\displaystyle{\displaystyle\operatorname{Arcsin}\NVar{z}}}

C4.S23.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathbb{R}}}

introduction.Sx4.p2.t1.r14.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C22.S1.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1dec

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Sitelinks

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