Formula:7847

Digital Library of Mathematical Functions ID 22.16.E34

${\displaystyle{\displaystyle\mathrm{Z}\left(x+2K|k\right)=\mathrm{Z}\left(x|k\right).}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Z}\left(\NVar{x}|\NVar{k}\right)}}$: Jacobi’s zeta function
• ${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$: Legendre’s complete elliptic integral of the first kind
• ${\displaystyle{\displaystyle x}}$: real
• ${\displaystyle{\displaystyle k}}$: modulus
 

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