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Formula:10453

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Digital Library of Mathematical Functions ID 34.5.E20

∑ 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},}}


Constraint(s)

μ = min ⁡ ( j 1 , j 2 ) 𝜇 subscript 𝑗 1 subscript 𝑗 2 {\displaystyle{\displaystyle\mu=\min(j_{1},j_{2})}}

Symbols List

  • 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}}}} : $$\mathit{6j}$$ symbol
  • j , j r 𝑗 subscript 𝑗 𝑟 {\displaystyle{\displaystyle j,j_{r}}} : non-negative integers or non-negative integers plus one half.
  • l , l r 𝑙 subscript 𝑙 𝑟 {\displaystyle{\displaystyle l,l_{r}}} : non-negative integers or non-negative integers plus one half.
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This page was last edited on 28 January 2024, at 10:02.
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