DLMF:22.10.E3 (Q7018)

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Language	Label	Description	Also known as
English	DLMF:22.10.E3	No description defined

Statements

Defining formula

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

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DLMF:22.10.E3

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order not exceeding

Defining formula

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

C2.S1.E3.m2abdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5abdec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1bdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1bdec

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Sitelinks

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