DLMF:34.5.E20 (Q9761): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: $$\mathit{6j}$$ symbol / rank
 
Normal rank
Property / Symbols used: $$\mathit{6j}$$ symbol / qualifier
 
Defining formula:

6 ⁢ j ⁢ j 1 ⁢ j 2 ⁢ j 3 ⁢ l 1 ⁢ l sixj subscript 𝑗 1 subscript 𝑗 2 subscript 𝑗 3 subscript 𝑙 1 𝑙 {\displaystyle{\displaystyle\mathit{6j}{\NVar{j_{1}}}{\NVar{j_{2}}}{\NVar{j_{3% }}}{\NVar{l_{1}}}{\NVar{l}\)\@add@PDF@RDFa@triples\end{document}}}}

\Wignersixjsym{\NVar{j_{1}}}{\NVar{j_{2}}}{\NVar{j_{3}}}{\NVar{l_{1}}}{\NVar{l% _{2}}}{\NVar{l_{3}}}
Property / Symbols used: $$\mathit{6j}$$ symbol / qualifier
 
xml-id: C34.S4.E1.m2aqdec
Property / Symbols used
 
Property / Symbols used: Q12709 / rank
 
Normal rank
Property / Symbols used: Q12709 / qualifier
 
Defining formula:

j , j r 𝑗 subscript 𝑗 𝑟 {\displaystyle{\displaystyle j,j_{r}}}

j,j_{r}
Property / Symbols used: Q12709 / qualifier
 
xml-id: C34.S1.XMD1.m1sdec
Property / Symbols used
 
Property / Symbols used: Q12713 / rank
 
Normal rank
Property / Symbols used: Q12713 / qualifier
 
Defining formula:

l , l r 𝑙 subscript 𝑙 𝑟 {\displaystyle{\displaystyle l,l_{r}}}

l,l_{r}
Property / Symbols used: Q12713 / qualifier
 
xml-id: C34.S1.XMD2.m1idec

Latest revision as of 14:45, 2 January 2020

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DLMF:34.5.E20
No description defined

    Statements

    Defining formula
    ∑ l ( - 1 ) l + j ⁢ 6 ⁢ j ⁢ j 1 ⁢ j 2 ⁢ l ⁢ j 1 ⁢ j 2 ⁢ j = ( - 1 ) 2 ⁢ μ 2 ⁢ j + 1 , subscript 𝑙 superscript 1 𝑙 𝑗 sixj subscript 𝑗 1 subscript 𝑗 2 𝑙 subscript 𝑗 1 subscript 𝑗 2 𝑗 superscript 1 2 𝜇 2 𝑗 1 {\displaystyle{\displaystyle\sum_{l}(-1)^{l+j}\mathit{6j}{j_{1}}{j_{2}}{l}{j_{% 1}}{j_{2}}{j}=\frac{(-1)^{2\mu}}{2j+1},}}
    0 references
    DLMF id
    DLMF:34.5.E20
    0 references
    constraint
    μ = min ⁡ ( j 1 , j 2 ) 𝜇 subscript 𝑗 1 subscript 𝑗 2 {\displaystyle{\displaystyle\mu=\min(j_{1},j_{2})}}
    0 references
    Symbols used
    $$\mathit{6j}$$ symbol
    Defining formula
    6 ⁢ j ⁢ j 1 ⁢ j 2 ⁢ j 3 ⁢ l 1 ⁢ l sixj subscript 𝑗 1 subscript 𝑗 2 subscript 𝑗 3 subscript 𝑙 1 𝑙 {\displaystyle{\displaystyle\mathit{6j}{\NVar{j_{1}}}{\NVar{j_{2}}}{\NVar{j_{3% }}}{\NVar{l_{1}}}{\NVar{l}\)\@add@PDF@RDFa@triples\end{document}}}}
    xml-id
    C34.S4.E1.m2aqdec
    0 references
    Q12709
    Defining formula
    j , j r 𝑗 subscript 𝑗 𝑟 {\displaystyle{\displaystyle j,j_{r}}}
    xml-id
    C34.S1.XMD1.m1sdec
    0 references
    Q12713
    Defining formula
    l , l r 𝑙 subscript 𝑙 𝑟 {\displaystyle{\displaystyle l,l_{r}}}
    xml-id
    C34.S1.XMD2.m1idec
    0 references
     
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