DLMF:34.5.E2 (Q9742): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: sum (locally) / rank
 
Normal rank
Property / Symbols used: sum (locally) / qualifier
 
Defining formula:

J 𝐽 {\displaystyle{\displaystyle J}}

J
Property / Symbols used: sum (locally) / qualifier
 
xml-id: C34.S3.XMD1.m1adec

Latest revision as of 14:43, 2 January 2020

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DLMF:34.5.E2
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    Statements

    Defining formula
    6 ⁢ j ⁢ j 1 ⁢ j 2 ⁢ j 3 ⁢ 1 2 ⁢ j 3 - 1 2 ⁢ j 2 + 1 2 = ( - 1 ) J ⁢ ( ( j 1 + j 3 - j 2 ) ⁢ ( j 1 + j 2 - j 3 + 1 ) ( 2 ⁢ j 2 + 1 ) ⁢ ( 2 ⁢ j 2 + 2 ) ⁢ 2 ⁢ j 3 ⁢ ( 2 ⁢ j 3 + 1 ) ) 1 2 , sixj subscript 𝑗 1 subscript 𝑗 2 subscript 𝑗 3 1 2 subscript 𝑗 3 1 2 subscript 𝑗 2 1 2 superscript 1 𝐽 superscript subscript 𝑗 1 subscript 𝑗 3 subscript 𝑗 2 subscript 𝑗 1 subscript 𝑗 2 subscript 𝑗 3 1 2 subscript 𝑗 2 1 2 subscript 𝑗 2 2 2 subscript 𝑗 3 2 subscript 𝑗 3 1 1 2 {\displaystyle{\displaystyle\mathit{6j}{j_{1}}{j_{2}}{j_{3}}{\frac{1}{2}}{j_{3% }-\frac{1}{2}}{j_{2}+\frac{1}{2}}=(-1)^{J}\left(\frac{(j_{1}+j_{3}-j_{2})(j_{1% }+j_{2}-j_{3}+1)}{(2j_{2}+1)(2j_{2}+2)2j_{3}(2j_{3}+1)}\right)^{\frac{1}{2}},}}
    0 references
    DLMF id
    DLMF:34.5.E2
    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.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
    sum (locally)
    Defining formula
    J 𝐽 {\displaystyle{\displaystyle J}}
    xml-id
    C34.S3.XMD1.m1adec
    0 references
     
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