DLMF:22.18#Ex6 (Q7174)

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DLMF:22.18#Ex6
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    y 3 = y 1 y 2 + x 2 ( - ( 1 + k 2 ) x 1 + 2 k 2 x 1 3 ) 1 - k 2 x 1 2 x 2 2 + x 3 2 k 2 x 1 y 1 x 2 2 1 - k 2 x 1 2 x 2 2 , subscript 𝑦 3 subscript 𝑦 1 subscript 𝑦 2 subscript 𝑥 2 1 superscript 𝑘 2 subscript 𝑥 1 2 superscript 𝑘 2 superscript subscript 𝑥 1 3 1 superscript 𝑘 2 superscript subscript 𝑥 1 2 superscript subscript 𝑥 2 2 subscript 𝑥 3 2 superscript 𝑘 2 subscript 𝑥 1 subscript 𝑦 1 superscript subscript 𝑥 2 2 1 superscript 𝑘 2 superscript subscript 𝑥 1 2 superscript subscript 𝑥 2 2 {\displaystyle{\displaystyle y_{3}=\frac{y_{1}y_{2}+x_{2}(-(1+k^{2})x_{1}+2k^{% 2}x_{1}^{3})}{1-k^{2}x_{1}^{2}x_{2}^{2}}+x_{3}\frac{2k^{2}x_{1}y_{1}x_{2}^{2}}% {1-k^{2}x_{1}^{2}x_{2}^{2}},}}
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    Warning: Falling back to standard tex;
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