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Binomial






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Binomial[n,k] > Identities > Functional identities > Relations of special kind





http://functions.wolfram.com/06.03.17.0003.01









  


  










Input Form





Binomial[Subscript[z, 1] - Subscript[z, 2], Subscript[z, 4] - Subscript[z, 2]] Binomial[Subscript[z, 1] - Subscript[z, 3], Subscript[z, 4]] Binomial[Subscript[z, 1] - Subscript[z, 2] - Subscript[z, 3], Subscript[z, 4] - Subscript[z, 3]] == Binomial[Subscript[z, 1] - Subscript[z, 2], Subscript[z, 4]] Binomial[Subscript[z, 1] - Subscript[z, 3], Subscript[z, 4] - Subscript[z, 3]] Binomial[Subscript[z, 1] - Subscript[z, 2] - Subscript[z, 3], Subscript[z, 4] - Subscript[z, 2]]










Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["Binomial", "[", RowBox[List[RowBox[List[SubscriptBox["z_", "1"], "-", SubscriptBox["z_", "2"]]], ",", RowBox[List[SubscriptBox["z_", "4"], "-", SubscriptBox["z_", "2"]]]]], "]"]], " ", RowBox[List["Binomial", "[", RowBox[List[RowBox[List[SubscriptBox["z_", "1"], "-", SubscriptBox["z_", "3"]]], ",", SubscriptBox["z_", "4"]]], "]"]], " ", RowBox[List["Binomial", "[", RowBox[List[RowBox[List[SubscriptBox["z_", "1"], "-", SubscriptBox["z_", "2"], "-", SubscriptBox["z_", "3"]]], ",", RowBox[List[SubscriptBox["z_", "4"], "-", SubscriptBox["z_", "3"]]]]], "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Binomial", "[", RowBox[List[RowBox[List[SubscriptBox["zz", "1"], "-", SubscriptBox["zz", "2"]]], ",", SubscriptBox["zz", "4"]]], "]"]], " ", RowBox[List["Binomial", "[", RowBox[List[RowBox[List[SubscriptBox["zz", "1"], "-", SubscriptBox["zz", "3"]]], ",", RowBox[List[SubscriptBox["zz", "4"], "-", SubscriptBox["zz", "3"]]]]], "]"]], " ", RowBox[List["Binomial", "[", RowBox[List[RowBox[List[SubscriptBox["zz", "1"], "-", SubscriptBox["zz", "2"], "-", SubscriptBox["zz", "3"]]], ",", RowBox[List[SubscriptBox["zz", "4"], "-", SubscriptBox["zz", "2"]]]]], "]"]]]]]]]]










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





2001-10-29





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