DLMF:22.16.E6 (Q7125)

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Language	Label	Description	Also known as
English	DLMF:22.16.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{am}\left(x,k\right)=x-k^{2}\frac{x^{% 3}}{3!}+k^{2}\left(4+k^{2}\right)\frac{x^{5}}{5!}+O\left(x^{7}\right).}}

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DLMF:22.16.E6

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order not exceeding

Defining formula

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

C2.S1.E3.m2adec

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Jacobi’s amplitude function

Defining formula

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

C22.S16.E1.m2aedec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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Defining formula

{\displaystyle{\displaystyle x}}

C22.S1.XMD1.m1edec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1cdec

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Sitelinks

Wikipedia(0 entries)

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