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Formula:7856

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Digital Library of Mathematical Functions ID 22.17.E8

dn ⁑ ( z , i ⁒ k ) = nd ⁑ ( z / k 1 β€² , k 1 ) . Jacobi-elliptic-dn 𝑧 𝑖 π‘˜ Jacobi-elliptic-nd 𝑧 superscript subscript π‘˜ 1 β€² subscript π‘˜ 1 {\displaystyle{\displaystyle\operatorname{dn}\left(z,ik\right)=\operatorname{% nd}\left(z/k_{1}^{\prime},k_{1}\right).}}


Constraint(s)

Symbols List

  • dn ⁑ ( z , k ) Jacobi-elliptic-dn 𝑧 π‘˜ {\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}} : Jacobian elliptic function
  • nd ⁑ ( z , k ) Jacobi-elliptic-nd 𝑧 π‘˜ {\displaystyle{\displaystyle\operatorname{nd}\left(\NVar{z},\NVar{k}\right)}} : Jacobian elliptic function
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex
  • k π‘˜ {\displaystyle{\displaystyle k}} : modulus
  • k 1 subscript π‘˜ 1 {\displaystyle{\displaystyle k_{1}}} : change of variable
  • k 1 β€² superscript subscript π‘˜ 1 β€² {\displaystyle{\displaystyle k_{1}^{\prime}}} : change of variable
  •  Edit this on Wikidata

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