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Formula:7683

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Digital Library of Mathematical Functions ID 22.8.E25

( dn ⁡ z 2 + dn ⁡ z 3 ) ⁢ ( dn ⁡ z 3 + dn ⁡ z 1 ) ⁢ ( dn ⁡ z 1 + dn ⁡ z 2 ) dn ⁡ z 1 + dn ⁡ z 2 + dn ⁡ z 3 Jacobi-elliptic-dn subscript 𝑧 2 𝑘 Jacobi-elliptic-dn subscript 𝑧 3 𝑘 Jacobi-elliptic-dn subscript 𝑧 3 𝑘 Jacobi-elliptic-dn subscript 𝑧 1 𝑘 Jacobi-elliptic-dn subscript 𝑧 1 𝑘 Jacobi-elliptic-dn subscript 𝑧 2 𝑘 Jacobi-elliptic-dn subscript 𝑧 1 𝑘 Jacobi-elliptic-dn subscript 𝑧 2 𝑘 Jacobi-elliptic-dn subscript 𝑧 3 𝑘 {\displaystyle{\displaystyle\frac{(\operatorname{dn}z_{2}+\operatorname{dn}z_{% 3})(\operatorname{dn}z_{3}+\operatorname{dn}z_{1})(\operatorname{dn}z_{1}+% \operatorname{dn}z_{2})}{\operatorname{dn}z_{1}+\operatorname{dn}z_{2}+% \operatorname{dn}z_{3}}}}


Constraint(s)

Symbols List

  • dn ⁡ ( z , k ) Jacobi-elliptic-dn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}} : Jacobian elliptic function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex
  • k 𝑘 {\displaystyle{\displaystyle k}} : modulus
  •  Edit this on Wikidata

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