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Formula:7708 - MaRDI portal

Formula:7708

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Digital Library of Mathematical Functions ID 22.9.E23

s 1 , 3 ( 4 ) d 1 , 3 ( 4 ) c 2 , 3 ( 4 ) c 3 , 3 ( 4 ) + s 2 , 3 ( 4 ) d 2 , 3 ( 4 ) c 3 , 3 ( 4 ) c 1 , 3 ( 4 ) + s 3 , 3 ( 4 ) d 3 , 3 ( 4 ) c 1 , 3 ( 4 ) c 2 , 3 ( 4 ) = κ 2 1 - κ 2 ( s 1 , 3 ( 4 ) d 1 , 3 ( 4 ) + s 2 , 3 ( 4 ) d 2 , 3 ( 4 ) + s 2 , 3 ( 4 ) d 2 , 3 ( 4 ) ) . superscript subscript 𝑠 1 3 4 superscript subscript 𝑑 1 3 4 superscript subscript 𝑐 2 3 4 superscript subscript 𝑐 3 3 4 superscript subscript 𝑠 2 3 4 superscript subscript 𝑑 2 3 4 superscript subscript 𝑐 3 3 4 superscript subscript 𝑐 1 3 4 superscript subscript 𝑠 3 3 4 superscript subscript 𝑑 3 3 4 superscript subscript 𝑐 1 3 4 superscript subscript 𝑐 2 3 4 superscript 𝜅 2 1 superscript 𝜅 2 superscript subscript 𝑠 1 3 4 superscript subscript 𝑑 1 3 4 superscript subscript 𝑠 2 3 4 superscript subscript 𝑑 2 3 4 superscript subscript 𝑠 2 3 4 superscript subscript 𝑑 2 3 4 {\displaystyle{\displaystyle s_{1,3}^{(4)}d_{1,3}^{(4)}c_{2,3}^{(4)}c_{3,3}^{(% 4)}+s_{2,3}^{(4)}d_{2,3}^{(4)}c_{3,3}^{(4)}c_{1,3}^{(4)}+s_{3,3}^{(4)}d_{3,3}^% {(4)}c_{1,3}^{(4)}c_{2,3}^{(4)}=\frac{\kappa^{2}}{1-\kappa^{2}}\left(s_{1,3}^{% (4)}d_{1,3}^{(4)}+s_{2,3}^{(4)}d_{2,3}^{(4)}+s_{2,3}^{(4)}d_{2,3}^{(4)}\right)% .}}


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