DLMF:22.11.E11 (Q7035)

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Language	Label	Description	Also known as
English	DLMF:22.11.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{nc}\left(z,k\right)-\frac{\pi}{2Kk^{% \prime}}\sec\zeta=-\frac{2\pi}{Kk^{\prime}}\sum_{n=0}^{\infty}\frac{(-1)^{n}q^% {2n+1}\cos\left((2n+1)\zeta\right)}{1+q^{2n+1}},}}

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DLMF:22.11.E11

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m3adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ajdec

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Defining formula

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

C19.S2.E8.m1ajdec

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cosine function

Defining formula

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

C4.S14.E2.m2aedec

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Defining formula

{\displaystyle{\displaystyle q}}

C22.S2.E1.m2ajdec

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secant function

Defining formula

{\displaystyle{\displaystyle\sec\NVar{z}}}

C4.S14.E6.m2aadec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1jdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1jdec

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Defining formula

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

C22.S1.XMD5.m1bdec

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Defining formula

{\displaystyle{\displaystyle\zeta}}

C22.S2.XMD2.m1jdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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