DLMF:31.15.E12 (Q9131): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12461 / rank
 
Normal rank
Property / Symbols used: Q12461 / qualifier
 
Defining formula:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q12461 / qualifier
 
xml-id: C31.S1.XMD6.m1jdec

Revision as of 13:45, 2 January 2020

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DLMF:31.15.E12
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    Statements

    Defining formula
    ρ ⁢ ( z ) = ( ∏ j = 1 N - 1 ∏ k = 1 N | z j - a k | γ k - 1 ) ⁢ ( ∏ j < k N - 1 ( z k - z j ) ) . 𝜌 𝑧 superscript subscript product 𝑗 1 𝑁 1 superscript subscript product 𝑘 1 𝑁 superscript subscript 𝑧 𝑗 subscript 𝑎 𝑘 subscript 𝛾 𝑘 1 superscript subscript product 𝑗 𝑘 𝑁 1 subscript 𝑧 𝑘 subscript 𝑧 𝑗 {\displaystyle{\displaystyle\rho(z)=\left(\prod_{j=1}^{N-1}\prod_{k=1}^{N}|z_{% j}-a_{k}|^{\gamma_{k}-1}\right)\left(\prod_{j<k}^{N-1}(z_{k}-z_{j})\right).}}
    0 references
    DLMF id
    DLMF:31.15.E12
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q12457
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C31.S1.XMD1.m1gdec
    0 references
    Q12458
    Defining formula
    γ 𝛾 {\displaystyle{\displaystyle\gamma}}
    xml-id
    C31.S1.XMD10.m1fdec
    0 references
    Q12477
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C31.S1.XMD2.m1idec
    0 references
    Q12461
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C31.S1.XMD6.m1jdec
    0 references
     
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