DLMF:22.11.E6 (Q7030): Difference between revisions

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Latest revision as of 15:13, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:22.11.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{nd}\left(z,k\right)=\frac{\pi}{2Kk^{% \prime}}+\frac{2\pi}{Kk^{\prime}}\sum_{n=1}^{\infty}\frac{(-1)^{n}q^{n}\cos% \left(2n\zeta\right)}{1+q^{2n}}.}}

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DLMF:22.11.E6

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m3adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aedec

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Defining formula

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

C19.S2.E8.m1aedec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2acdec

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Defining formula

{\displaystyle{\displaystyle q}}

C22.S2.E1.m2aedec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1edec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1edec

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Defining formula

{\displaystyle{\displaystyle k^{\prime}}}

C22.S1.XMD5.m1adec

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Defining formula

{\displaystyle{\displaystyle\zeta}}

C22.S2.XMD2.m1edec

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Sitelinks

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