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

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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.m1dec
Property / Symbols used
 
Property / Symbols used: Q12462 / rank
 
Normal rank
Property / Symbols used: Q12462 / qualifier
 
Defining formula:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q12462 / qualifier
 
xml-id: C31.S1.XMD7.m1dec
Property / Symbols used
 
Property / Symbols used: Q12463 / rank
 
Normal rank
Property / Symbols used: Q12463 / qualifier
 
Defining formula:

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

\alpha
Property / Symbols used: Q12463 / qualifier
 
xml-id: C31.S1.XMD8.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12464 / rank
 
Normal rank
Property / Symbols used: Q12464 / qualifier
 
Defining formula:

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

\beta
Property / Symbols used: Q12464 / qualifier
 
xml-id: C31.S1.XMD9.m1bdec
Property / Symbols used
 
Property / Symbols used: DLMF:31.11.E3 / rank
 
Normal rank
Property / Symbols used: DLMF:31.11.E3 / qualifier
 
Defining formula:

λ 𝜆 {\displaystyle{\displaystyle\lambda}}

\lambda
Property / Symbols used: DLMF:31.11.E3 / qualifier
 
xml-id: C31.S11.XMD2.m1cdec
Property / Symbols used
 
Property / Symbols used: DLMF:31.11.E3 / rank
 
Normal rank
Property / Symbols used: DLMF:31.11.E3 / qualifier
 
Defining formula:

μ 𝜇 {\displaystyle{\displaystyle\mu}}

\mu
Property / Symbols used: DLMF:31.11.E3 / qualifier
 
xml-id: C31.S11.XMD3.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12509 / rank
 
Normal rank
Property / Symbols used: Q12509 / qualifier
 
Defining formula:

L j subscript 𝐿 𝑗 {\displaystyle{\displaystyle L_{j}}}

L_{j}
Property / Symbols used: Q12509 / qualifier
 
xml-id: C31.S11.XMD6.m1bdec

Latest revision as of 13:41, 2 January 2020

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English
DLMF:31.11.E7
No description defined

    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
    Q12461
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C31.S1.XMD6.m1dec
    0 references
    Q12462
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C31.S1.XMD7.m1dec
    0 references
    Q12463
    Defining formula
    α 𝛼 {\displaystyle{\displaystyle\alpha}}
    xml-id
    C31.S1.XMD8.m1bdec
    0 references
    Q12464
    Defining formula
    β 𝛽 {\displaystyle{\displaystyle\beta}}
    xml-id
    C31.S1.XMD9.m1bdec
    0 references
    DLMF:31.11.E3
    Defining formula
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C31.S11.XMD2.m1cdec
    0 references
    DLMF:31.11.E3
    Defining formula
    μ 𝜇 {\displaystyle{\displaystyle\mu}}
    xml-id
    C31.S11.XMD3.m1cdec
    0 references
    Q12509
    Defining formula
    L j subscript 𝐿 𝑗 {\displaystyle{\displaystyle L_{j}}}
    xml-id
    C31.S11.XMD6.m1bdec
    0 references
     
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