DLMF:32.7.E22 (Q9312)

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DLMF:32.7.E22
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    Statements

    Defining formula
    𝒯 3 ± : w 3 ± = 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 3 plus-or-minus superscript subscript 𝑤 3 plus-or-minus subscript 𝑤 0 2 minus-or-plus 1 subscript 𝛼 0 1 2 2 subscript 𝛽 0 subscript 𝑤 0 plus-or-minus superscript subscript 𝑤 0 ′ 2 subscript 𝛽 0 2 𝑧 subscript 𝑤 0 superscript subscript 𝑤 0 2 {\displaystyle{\displaystyle\mathcal{T}_{3}^{\pm}:\enskip w_{3}^{\pm}=w_{0}+% \frac{2\left(1-\alpha_{0}\mp\tfrac{1}{2}\sqrt{-2\beta_{0}}\right)w_{0}}{w_{0}^% {\prime}\pm\sqrt{-2\beta_{0}}+2zw_{0}+w_{0}^{2}},}}
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    DLMF id
    DLMF:32.7.E22
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q12523
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C32.S1.XMD4.m1ndec
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    Q12524
    Defining formula
    α 𝛼 {\displaystyle{\displaystyle\alpha}}
    xml-id
    C32.S2.XMD1.m1kdec
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    Q12525
    Defining formula
    β 𝛽 {\displaystyle{\displaystyle\beta}}
    xml-id
    C32.S2.XMD2.m1mdec
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