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ClebschGordan




Mathematica Notation

Traditional Notation









Hypergeometric Functions > ClebschGordan[{j1,m1},{j2,m2},{j,m}] > Series representations > Generalized power series





http://functions.wolfram.com/07.38.06.0001.02









  


  








Input Form





ClebschGordan[{Subscript[j, 1], Subscript[m, 1]}, {Subscript[j, 2], Subscript[m, 2]}, {j, m}] == (KroneckerDelta[m, Subscript[m, 1] + Subscript[m, 2]]/ Sqrt[(j + Subscript[j, 1] + Subscript[j, 2] + 1)!]) Sqrt[(-j + Subscript[j, 1] + Subscript[j, 2])!] Sqrt[(j + Subscript[j, 1] - Subscript[j, 2])!] Sqrt[(j - Subscript[j, 1] + Subscript[j, 2])!] Sqrt[2 j + 1] Sqrt[(Subscript[j, 1] + Subscript[m, 1])!] Sqrt[(Subscript[j, 1] - Subscript[m, 1])!] Sqrt[(Subscript[j, 2] + Subscript[m, 2])!] Sqrt[(Subscript[j, 2] - Subscript[m, 2])!] Sqrt[(j + m)!] Sqrt[(j - m)!] Sum[(-1)^k/(k! (-j - k + Subscript[j, 1] + Subscript[j, 2])! (-k + Subscript[j, 1] - Subscript[m, 1])! (-k + Subscript[j, 2] + Subscript[m, 2])! (j + k - Subscript[j, 2] + Subscript[m, 1])! (j + k - Subscript[j, 1] - Subscript[m, 2])!), {k, 0, Infinity}] /; \[ScriptCapitalP]\[ScriptH]\[ScriptY]\[ScriptS]\[ScriptI]\[ScriptC]\ \[ScriptA]\[ScriptL]\[ScriptCapitalQ][{Subscript[j, 1], Subscript[m, 1]}, {Subscript[j, 2], Subscript[m, 2]}, {j, m}]








Standard Form





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MathML Form







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type='integer'> 2 </cn> </apply> <apply> <ci> Subscript </ci> <ci> m </ci> <cn type='integer'> 2 </cn> </apply> </list> <list> <ci> j </ci> <ci> m </ci> </list> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29