DLMF:22.10.E2 (Q7017)

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Language	Label	Description	Also known as
English	DLMF:22.10.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{cn}\left(z,k\right)=1-\frac{z^{2}}{2% !}+\left(1+4k^{2}\right)\frac{z^{4}}{4!}-\left(1+44k^{2}+16k^{4}\right)\frac{z% ^{6}}{6!}+O\left(z^{8}\right),}}

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DLMF:22.10.E2

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order not exceeding

Defining formula

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

C2.S1.E3.m2aadec

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m2adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5aadec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1adec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1adec

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Sitelinks

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