DLMF:22.11.E8 (Q7032): Difference between revisions

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Revision as of 15:13, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:22.11.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{ds}\left(z,k\right)-\frac{\pi}{2K}% \csc\zeta=-\frac{2\pi}{K}\sum_{n=0}^{\infty}\frac{q^{2n+1}\sin\left((2n+1)% \zeta\right)}{1+q^{2n+1}},}}

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DLMF:22.11.E8

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Jacobian elliptic function

Defining formula

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

C22.S2.E7.m3adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2agdec

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Defining formula

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

C19.S2.E8.m1agdec

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cosecant function

Defining formula

{\displaystyle{\displaystyle\csc\NVar{z}}}

C4.S14.E5.m2aadec

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Defining formula

{\displaystyle{\displaystyle q}}

C22.S2.E1.m2agdec

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Defining formula

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

C4.S14.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1gdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1gdec

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Sitelinks

Wikipedia(0 entries)

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