DLMF:22.16.E9 (Q7128): Difference between revisions

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Revision as of 15:32, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:22.16.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{am}\left(x,k\right)=\frac{\pi}{2K}x+% 2\sum_{n=1}^{\infty}\frac{q^{n}\sin\left(2n\zeta\right)}{n(1+q^{2n})}.}}

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DLMF:22.16.E9

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Jacobi’s amplitude function

Defining formula

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

C22.S16.E1.m2ahdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle K\left(\NVar{k}\right)}}

C19.S2.E8.m1aadec

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Defining formula

{\displaystyle{\displaystyle q}}

C22.S2.E1.m2adec

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Defining formula

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

C4.S14.E1.m2aadec

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Sitelinks

Wikipedia(0 entries)

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