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DLMF:22.9.E15

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Formula:7700
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MaRDI QIDQ7700

  • Label: DLMF:22.9.E15


Digital Library of Mathematical Functions ID 22.9.E15

d 1 , 3 ( 2 ) ⁢ d 2 , 3 ( 2 ) ⁢ d 3 , 3 ( 2 ) = κ 2 + k 2 - 1 1 - κ 2 ⁢ ( d 1 , 3 ( 2 ) + d 2 , 3 ( 2 ) + d 3 , 3 ( 2 ) ) , superscript subscript 𝑑 1 3 2 superscript subscript 𝑑 2 3 2 superscript subscript 𝑑 3 3 2 superscript 𝜅 2 superscript 𝑘 2 1 1 superscript 𝜅 2 superscript subscript 𝑑 1 3 2 superscript subscript 𝑑 2 3 2 superscript subscript 𝑑 3 3 2 {\displaystyle{\displaystyle d_{1,3}^{(2)}d_{2,3}^{(2)}d_{3,3}^{(2)}=\frac{% \kappa^{2}+k^{2}-1}{1-\kappa^{2}}\left(d_{1,3}^{(2)}+d_{2,3}^{(2)}+d_{3,3}^{(2% )}\right),}}


Constraint(s)

Symbols List

  • k 𝑘 {\displaystyle{\displaystyle k}} : modulus
  • d m , p ( r ) superscript subscript 𝑑 𝑚 𝑝 𝑟 {\displaystyle{\displaystyle d_{m,p}^{(r)}}} : cyclic quantity
  • κ 𝜅 {\displaystyle{\displaystyle\kappa}} : change of variable
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