DLMF:23.6.E28 (Q7271)

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Language	Label	Description	Also known as
English	DLMF:23.6.E28	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\zeta\left(z|\mathbb{L}_{\mspace{1.0mu }2}\right)-% \zeta\left(z+2K|\mathbb{L}_{\mspace{1.0mu }2}\right)+\zeta\left(2K|\mathbb{L}_% {\mspace{1.0mu }2}\right)=\operatorname{ds}\left(z,k\right),}}

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DLMF:23.6.E28

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Jacobian elliptic function

Defining formula

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

C22.S2.E7.m3aadec

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Defining formula

{\displaystyle{\displaystyle\zeta\left(\NVar{z}\right)}}

C23.S2.E5.m2abdec

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Defining formula

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

C19.S2.E8.m1akdec

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Defining formula

{\displaystyle{\displaystyle\mathbb{L}}}

C23.S1.XMD1.m1ydec

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Defining formula

{\displaystyle{\displaystyle z}}

C23.S1.XMD7.m1ndec

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Defining formula

{\displaystyle{\displaystyle k}}

C23.S6.XMD3.m1ldec

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