DLMF:34.5.E14 (Q10447)

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DLMF:34.5.E14
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    Statements

    DLMF defining formula
    ∑ j 3 ( 2 ⁢ j 3 + 1 ) ⁢ ( 2 ⁢ l 3 + 1 ) ⁢ 6 ⁢ j ⁢ j 1 ⁢ j 2 ⁢ j 3 ⁢ l 1 ⁢ l 2 ⁢ l 3 ⁢ 6 ⁢ j ⁢ j 1 ⁢ j 2 ⁢ j 3 ⁢ l 1 ⁢ l 2 ⁢ l 3 ′ = δ l 3 , l 3 ′ . subscript subscript 𝑗 3 2 subscript 𝑗 3 1 2 subscript 𝑙 3 1 sixj subscript 𝑗 1 subscript 𝑗 2 subscript 𝑗 3 subscript 𝑙 1 subscript 𝑙 2 subscript 𝑙 3 sixj subscript 𝑗 1 subscript 𝑗 2 subscript 𝑗 3 subscript 𝑙 1 subscript 𝑙 2 subscript superscript 𝑙 ′ 3 Kronecker subscript 𝑙 3 subscript superscript 𝑙 ′ 3 {\displaystyle{\displaystyle\sum_{j_{3}}(2j_{3}+1)(2l_{3}+1)\mathit{6j}{j_{1}}% {j_{2}}{j_{3}}{l_{1}}{l_{2}}{l_{3}}\mathit{6j}{j_{1}}{j_{2}}{j_{3}}{l_{1}}{l_{% 2}}{l^{\prime}_{3}}=\delta_{l_{3},l^{\prime}_{3}}.}}
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    Symbols used
    Q10742
    DLMF defining formula
    δ j , k Kronecker 𝑗 𝑘 {\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}
    xml-id
    introduction.Sx4.p1.t1.r4.m5adec
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    $$\mathit{6j}$$ symbol
    DLMF 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.m2akdec
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    non-negative integers or non-negative integers plus one half.
    DLMF defining formula
    j , j r 𝑗 subscript 𝑗 𝑟 {\displaystyle{\displaystyle j,j_{r}}}
    xml-id
    C34.S1.XMD1.m1mdec
    0 references
    non-negative integers or non-negative integers plus one half.
    DLMF defining formula
    l , l r 𝑙 subscript 𝑙 𝑟 {\displaystyle{\displaystyle l,l_{r}}}
    xml-id
    C34.S1.XMD2.m1fdec
    0 references

    Identifiers

     
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