DLMF:34.7.E2 (Q9768)

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DLMF:34.7.E2
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    Statements

    Defining formula
    ∑ j 12 ⁢ j 34 ( 2 ⁢ j 12 + 1 ) ⁢ ( 2 ⁢ j 34 + 1 ) ⁢ ( 2 ⁢ j 13 + 1 ) ⁢ ( 2 ⁢ j 24 + 1 ) ⁢ 9 ⁢ j ⁢ j 1 ⁢ j 2 ⁢ j 12 ⁢ j 3 ⁢ j 4 ⁢ j 34 ⁢ j 13 ⁢ j 24 ⁢ j ⁢ 9 ⁢ j ⁢ j 1 ⁢ j 2 ⁢ j 12 ⁢ j 3 ⁢ j 4 ⁢ j 34 ⁢ j 13 ′ ⁢ j 24 ′ ⁢ j = δ j 13 , j 13 ′ ⁢ δ j 24 , j 24 ′ . subscript subscript 𝑗 12 subscript 𝑗 34 2 subscript 𝑗 12 1 2 subscript 𝑗 34 1 2 subscript 𝑗 13 1 2 subscript 𝑗 24 1 ninej subscript 𝑗 1 subscript 𝑗 2 subscript 𝑗 12 subscript 𝑗 3 subscript 𝑗 4 subscript 𝑗 34 subscript 𝑗 13 subscript 𝑗 24 𝑗 ninej subscript 𝑗 1 subscript 𝑗 2 subscript 𝑗 12 subscript 𝑗 3 subscript 𝑗 4 subscript 𝑗 34 subscript superscript 𝑗 ′ 13 subscript superscript 𝑗 ′ 24 𝑗 Kronecker subscript 𝑗 13 subscript superscript 𝑗 ′ 13 Kronecker subscript 𝑗 24 subscript superscript 𝑗 ′ 24 {\displaystyle{\displaystyle\sum_{j_{12}\,j_{34}}(2j_{12}+1)(2j_{34}+1)(2j_{13% }+1)(2j_{24}+1)\mathit{9j}{j_{1}}{j_{2}}{j_{12}}{j_{3}}{j_{4}}{j_{34}}{j_{13}}% {j_{24}}{j}\mathit{9j}{j_{1}}{j_{2}}{j_{12}}{j_{3}}{j_{4}}{j_{34}}{j^{\prime}_% {13}}{j^{\prime}_{24}}{j}=\delta_{j_{13},j^{\prime}_{13}}\delta_{j_{24},j^{% \prime}_{24}}.}}
    0 references
    DLMF id
    DLMF:34.7.E2
    0 references
    Symbols used
    Q10768
    Defining formula
    δ j , k Kronecker 𝑗 𝑘 {\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}
    xml-id
    introduction.Sx4.p1.t1.r4.m5adec
    0 references
    $$\mathit{9j}$$ symbol
    Defining formula
    9 ⁢ j ⁢ j 11 ⁢ j 12 ⁢ j 13 ⁢ j 21 ninej subscript 𝑗 11 subscript 𝑗 12 subscript 𝑗 13 subscript 𝑗 21 {\displaystyle{\displaystyle\mathit{9j}{\NVar{j_{11}}}{\NVar{j_{12}}}{\NVar{j_% {13}}}{\NVar{j_{21}}}{\)\@add@PDF@RDFa@triples\end{document}}}}
    xml-id
    C34.S6.E1.m2aadec
    0 references
    Q12709
    Defining formula
    j , j r 𝑗 subscript 𝑗 𝑟 {\displaystyle{\displaystyle j,j_{r}}}
    xml-id
    C34.S1.XMD1.m1adec
    0 references
     
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