DLMF:32.7.E23 (Q9313): Difference between revisions

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‎Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q12524 / rank
 
Normal rank
Property / Symbols used: Q12524 / qualifier
 
Defining formula:

α 𝛼 {\displaystyle{\displaystyle\alpha}}

\alpha
Property / Symbols used: Q12524 / qualifier
 
xml-id: C32.S2.XMD1.m1ldec
Property / Symbols used
 
Property / Symbols used: Q12525 / rank
 
Normal rank
Property / Symbols used: Q12525 / qualifier
 
Defining formula:

β 𝛽 {\displaystyle{\displaystyle\beta}}

\beta
Property / Symbols used: Q12525 / qualifier
 
xml-id: C32.S2.XMD2.m1ndec
Property / Symbols used
 
Property / Symbols used: Q12558 / rank
 
Normal rank
Property / Symbols used: Q12558 / qualifier
 
Defining formula:

𝒯 j subscript 𝒯 𝑗 {\displaystyle{\displaystyle\mathcal{T}_{j}}}

\mathcal{T}_{j}
Property / Symbols used: Q12558 / qualifier
 
xml-id: C32.S7.XMD9.m1cdec

Latest revision as of 14:01, 2 January 2020

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DLMF:32.7.E23
No description defined

    Statements

    Defining formula
    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}},}}
    0 references
    DLMF id
    DLMF:32.7.E23
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q12523
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C32.S1.XMD4.m1odec
    0 references
    Q12524
    Defining formula
    α 𝛼 {\displaystyle{\displaystyle\alpha}}
    xml-id
    C32.S2.XMD1.m1ldec
    0 references
    Q12525
    Defining formula
    β 𝛽 {\displaystyle{\displaystyle\beta}}
    xml-id
    C32.S2.XMD2.m1ndec
    0 references
    Q12558
    Defining formula
    𝒯 j subscript 𝒯 𝑗 {\displaystyle{\displaystyle\mathcal{T}_{j}}}
    xml-id
    C32.S7.XMD9.m1cdec
    0 references
     
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