DLMF:34.5.E16
type: Item
Digital Library of Mathematical Functions ID: 34.5.E16
DLMF defining formula: <math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle(-1)^{j_{1}+j_{2}+j_{3}+j_{1}^{\prime}+j_{2}^{% \prime}+l_{1}+l_{2}}\mathit{6j}{j_{1}}{j_{2}}{j_{3}}{l_{1}}{l_{2}}{l_{3}}% \mathit{6j}{j_{1}^{\prime}}{j_{2}^{\prime}}{j_{3}}{l_{1}}{l_{2}}{l_{3}^{\prime% }}=\sum_{j}(-1)^{l_{3}+l_{3}^{\prime}+j}(2j+1)\mathit{6j}{j_{1}}{j_{1}^{\prime% }}{j}{j_{2}^{\prime}}{j_{2}}{j_{3}}\mathit{6j}{l_{3}}{l_{3}^{\prime}}{j}{j_{1}% ^{\prime}}{j_{1}}{l_{2}}\mathit{6j}{l_{3}}{l_{3}^{\prime}}{j}{j_{2}^{\prime}}{% j_{2}}{l_{1}}.}}" display="inline"> ( - 1 ) j 1 + j 2 + j 3 + j 1 ′ + j 2 ′ + l 1 + l 2 ⁢ 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 ′ = ∑ j ( - 1 ) l 3 + l 3 ′ + j ⁢ ( 2 ⁢ j + 1 ) ⁢ 6 ⁢ j ⁢ j 1 ⁢ j 1 ′ ⁢ j ⁢ j 2 ′ ⁢ j 2 ⁢ j 3 ⁢ 6 ⁢ j ⁢ l 3 ⁢ l 3 ′ ⁢ j ⁢ j 1 ′ ⁢ j 1 ⁢ l 2 ⁢ 6 ⁢ j ⁢ l 3 ⁢ l 3 ′ ⁢ j ⁢ j 2 ′ ⁢ j 2 ⁢ l 1 . <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b"> <apply id="p1.1.m1.1.92.2.cmml" xref="p1.1.m1.1.92"> <eq id="p1.1.m1.1.35.cmml" xref="p1.1.m1.1.35"/> <apply id="p1.1.m1.1.92.2.1.cmml" xref="p1.1.m1.1.92.2.1"> <times id="p1.1.m1.1.92.2.1.1.cmml" xref="p1.1.m1.1.92.2.1.1"/> <apply id="p1.1.m1.1.92.2.1.2.cmml" xref="p1.1.m1.1.92.2.1.2"> <csymbol cd="ambiguous" id="p1.1.m1.1.92.2.1.2.1.cmml" xref="p1.1.m1.1.92.2.1.2">superscript</csymbol> <apply id="p1.1.m1.1.92.2.1.2.2.2.cmml" xref="p1.1.m1.1.92.2.1.2.2"> <minus id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/> <cn type="integer" id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">1</cn> </apply> <apply id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1"> <plus id="p1.1.m1.1.5.1.3.cmml" xref="p1.1.m1.1.5.1.3"/> <apply id="p1.1.m1.1.5.1.23.cmml" xref="p1.1.m1.1.5.1.23"> <csymbol cd="ambiguous" id="p1.1.m1.1.5.1.23.1.cmml" xref="p1.1.m1.1.5.1.23">subscript</csymbol> <ci id="p1.1.m1.1.5.1.1.cmml" xref="p1.1.m1.1.5.1.1">𝑗</ci> <cn type="integer" id="p1.1.m1.1.5.1.2.1.cmml" xref="p1.1.m1.1.5.1.2.1">1</cn> </apply> <apply id="p…
Symbols used: $$\mathit{6j}$$ symbol
Symbols used: non-negative integers or non-negative integers plus one half.
instance of: Digital Library of Mathematical Functions Formula
MaRDI profile type: MaRDI formula profile