Formula:7814

Digital Library of Mathematical Functions ID 22.16.E2

${\displaystyle{\displaystyle\operatorname{am}\left(x+2K,k\right)=\operatorname{am}\left(x,k\right)+\pi.}}$

Symbols List

• ${\displaystyle{\displaystyle\operatorname{am}\left(\NVar{x},\NVar{k}\right)}}$: Jacobi’s amplitude function
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$: Legendre’s complete elliptic integral of the first kind
• ${\displaystyle{\displaystyle x}}$: real
• ${\displaystyle{\displaystyle k}}$: modulus
 

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