DLMF:31.11.E7 (Q9091): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12477 / rank
 
Normal rank
Property / Symbols used: Q12477 / qualifier
 
Defining formula:

j 𝑗 {\displaystyle{\displaystyle j}}

j
Property / Symbols used: Q12477 / qualifier
 
xml-id: C31.S1.XMD2.m1ddec

Revision as of 13:40, 2 January 2020

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DLMF:31.11.E7
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    Statements

    Defining formula
    L j = a ⁢ ( λ + j ) ⁢ ( μ - j ) - q + ( j + α - μ ) ⁢ ( j + β - μ ) ⁢ ( j + γ - μ ) ⁢ ( j + λ ) ( 2 ⁢ j + λ - μ ) ⁢ ( 2 ⁢ j + λ - μ + 1 ) + ( j - α + λ ) ⁢ ( j - β + λ ) ⁢ ( j - γ + λ ) ⁢ ( j - μ ) ( 2 ⁢ j + λ - μ ) ⁢ ( 2 ⁢ j + λ - μ - 1 ) , subscript 𝐿 𝑗 𝑎 𝜆 𝑗 𝜇 𝑗 𝑞 𝑗 𝛼 𝜇 𝑗 𝛽 𝜇 𝑗 𝛾 𝜇 𝑗 𝜆 2 𝑗 𝜆 𝜇 2 𝑗 𝜆 𝜇 1 𝑗 𝛼 𝜆 𝑗 𝛽 𝜆 𝑗 𝛾 𝜆 𝑗 𝜇 2 𝑗 𝜆 𝜇 2 𝑗 𝜆 𝜇 1 {\displaystyle{\displaystyle L_{j}=a(\lambda+j)(\mu-j)-q+\frac{(j+\alpha-\mu)(% j+\beta-\mu)(j+\gamma-\mu)(j+\lambda)}{(2j+\lambda-\mu)(2j+\lambda-\mu+1)}+% \frac{(j-\alpha+\lambda)(j-\beta+\lambda)(j-\gamma+\lambda)(j-\mu)}{(2j+% \lambda-\mu)(2j+\lambda-\mu-1)},}}
    0 references
    DLMF id
    DLMF:31.11.E7
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q12458
    Defining formula
    γ 𝛾 {\displaystyle{\displaystyle\gamma}}
    xml-id
    C31.S1.XMD10.m1cdec
    0 references
    Q12477
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C31.S1.XMD2.m1ddec
    0 references
     
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