DLMF:32.7.E23 (Q9313)

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DLMF:32.7.E23
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    𝒯 4 ± : w 4 ± = w 0 + 2 ( 1 + α 0 ± 1 2 - 2 β 0 ) w 0 w 0 - 2 β 0 - 2 z w 0 - w 0 2 , : superscript subscript 𝒯 4 plus-or-minus superscript subscript 𝑤 4 plus-or-minus subscript 𝑤 0 2 plus-or-minus 1 subscript 𝛼 0 1 2 2 subscript 𝛽 0 subscript 𝑤 0 minus-or-plus superscript subscript 𝑤 0 2 subscript 𝛽 0 2 𝑧 subscript 𝑤 0 superscript subscript 𝑤 0 2 {\displaystyle{\displaystyle\mathcal{T}_{4}^{\pm}:\enskip w_{4}^{\pm}=w_{0}+% \frac{2\left(1+\alpha_{0}\pm\tfrac{1}{2}\sqrt{-2\beta_{0}}\right)w_{0}}{w_{0}^% {\prime}\mp\sqrt{-2\beta_{0}}-2zw_{0}-w_{0}^{2}},}}
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    DLMF:32.7.E23
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