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Formula:7618

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Digital Library of Mathematical Functions ID 22.2.E3

ζ = π ⁢ z 2 ⁢ K ⁡ ( k ) , 𝜁 𝜋 𝑧 2 complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle\zeta=\frac{\pi z}{2K\left(k\right)},}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • K ⁡ ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}} : Legendre’s complete elliptic integral of the first kind
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex
  • k 𝑘 {\displaystyle{\displaystyle k}} : modulus
  • ζ 𝜁 {\displaystyle{\displaystyle\zeta}} : change of variable
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This page was last edited on 28 January 2024, at 10:02.
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