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Formula:9270

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Digital Library of Mathematical Functions ID 29.2.E5

ϕ = 1 2 ⁢ π - am ⁡ ( z , k ) . italic-ϕ 1 2 𝜋 Jacobi-elliptic-amplitude 𝑧 𝑘 {\displaystyle{\displaystyle\phi=\tfrac{1}{2}\pi-\operatorname{am}\left(z,k% \right).}}


Constraint(s)

Symbols List

  • am ⁡ ( x , k ) Jacobi-elliptic-amplitude 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{am}\left(\NVar{x},\NVar{k}\right)}} : Jacobi’s amplitude function
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • k 𝑘 {\displaystyle{\displaystyle k}} : real parameter
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This page was last edited on 28 January 2024, at 10:30.
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