DLMF:22.16.E7 (Q7126)

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Language	Label	Description	Also known as
English	DLMF:22.16.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{am}\left(x,k\right)=x-\tfrac{1}{4}k^% {2}(x-\sin x\cos x)+O\left(k^{4}\right),}}

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DLMF:22.16.E7

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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2aadec

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Jacobi’s amplitude function

Defining formula

{\displaystyle{\displaystyle\operatorname{am}\left(\NVar{x},\NVar{k}\right)}}

C22.S16.E1.m2afdec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C22.S1.XMD1.m1fdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1ddec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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