DLMF:19.29.E16 (Q6644): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11895 / rank
 
Normal rank
Property / Symbols used: Q11895 / qualifier
 
Defining formula:

d α ⁢ β subscript 𝑑 𝛼 𝛽 {\displaystyle{\displaystyle d_{\alpha\beta}}}

d_{\alpha\beta}
Property / Symbols used: Q11895 / qualifier
 
xml-id: C19.S29.XMD3.m1fdec

Revision as of 14:20, 2 January 2020

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DLMF:19.29.E16
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    Statements

    Defining formula
    b β ⁢ b γ ⁢ I ⁢ ( 𝐞 α ) = d α ⁢ β ⁢ d α ⁢ γ ⁢ I ⁢ ( - 𝐞 α ) + 2 ⁢ b α ⁢ ( s ⁢ ( x ) a α + b α ⁢ x - s ⁢ ( y ) a α + b α ⁢ y ) , subscript 𝑏 𝛽 subscript 𝑏 𝛾 𝐼 subscript 𝐞 𝛼 subscript 𝑑 𝛼 𝛽 subscript 𝑑 𝛼 𝛾 𝐼 subscript 𝐞 𝛼 2 subscript 𝑏 𝛼 𝑠 𝑥 subscript 𝑎 𝛼 subscript 𝑏 𝛼 𝑥 𝑠 𝑦 subscript 𝑎 𝛼 subscript 𝑏 𝛼 𝑦 {\displaystyle{\displaystyle b_{\beta}b_{\gamma}I(\mathbf{e}_{\alpha})=d_{% \alpha\beta}d_{\alpha\gamma}I(-\mathbf{e}_{\alpha})+2b_{\alpha}\left(\frac{s(x% )}{a_{\alpha}+b_{\alpha}x}-\frac{s(y)}{a_{\alpha}+b_{\alpha}y}\right),}}
    0 references
    DLMF id
    DLMF:19.29.E16
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q11906
    Defining formula
    I ⁢ ( 𝐦 ) 𝐼 𝐦 {\displaystyle{\displaystyle I(\mathbf{m})}}
    xml-id
    C19.S29.XMD13.m1ddec
    0 references
    Q11907
    Defining formula
    s ⁢ ( t ) 𝑠 𝑡 {\displaystyle{\displaystyle s(t)}}
    xml-id
    C19.S29.XMD14.m1dec
    0 references
    Q11895
    Defining formula
    d α ⁢ β subscript 𝑑 𝛼 𝛽 {\displaystyle{\displaystyle d_{\alpha\beta}}}
    xml-id
    C19.S29.XMD3.m1fdec
    0 references
     
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