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Formula:10438 - MaRDI portal

Formula:10438

From MaRDI portal

Digital Library of Mathematical Functions ID 34.5.E6

6 j j 1 j 2 j 3 1 j 3 - 1 j 2 + 1 = ( - 1 ) J ( ( J - 2 j 2 - 1 ) ( J - 2 j 2 ) ( J - 2 j 3 + 1 ) ( J - 2 j 3 + 2 ) ( 2 j 2 + 1 ) ( 2 j 2 + 2 ) ( 2 j 2 + 3 ) ( 2 j 3 - 1 ) 2 j 3 ( 2 j 3 + 1 ) ) 1 2 , sixj subscript 𝑗 1 subscript 𝑗 2 subscript 𝑗 3 1 subscript 𝑗 3 1 subscript 𝑗 2 1 superscript 1 𝐽 superscript 𝐽 2 subscript 𝑗 2 1 𝐽 2 subscript 𝑗 2 𝐽 2 subscript 𝑗 3 1 𝐽 2 subscript 𝑗 3 2 2 subscript 𝑗 2 1 2 subscript 𝑗 2 2 2 subscript 𝑗 2 3 2 subscript 𝑗 3 1 2 subscript 𝑗 3 2 subscript 𝑗 3 1 1 2 {\displaystyle{\displaystyle\mathit{6j}{j_{1}}{j_{2}}{j_{3}}{1}{j_{3}-1}{j_{2}% +1}=(-1)^{J}\left(\frac{(J-2j_{2}-1)(J-2j_{2})(J-2j_{3}+1)(J-2j_{3}+2)}{(2j_{2% }+1)(2j_{2}+2)(2j_{2}+3)(2j_{3}-1)2j_{3}(2j_{3}+1)}\right)^{\frac{1}{2}},}}


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Symbols List

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