DLMF:22.10.E4 (Q7019)

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Language	Label	Description	Also known as
English	DLMF:22.10.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{sn}\left(z,k\right)=\sin z-\frac{k^{% 2}}{4}(z-\sin z\cos z)\cos z+O\left(k^{4}\right),}}

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DLMF:22.10.E4

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order not exceeding

Defining formula

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

C2.S1.E3.m2acdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2aadec

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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 z}}

C22.S1.XMD3.m1cdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1cdec

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Sitelinks

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