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http://functions.wolfram.com/06.05.16.0018.01
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(Gamma[z] Gamma[w])/Gamma[z + w] == Beta[z, w]
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Cell[BoxData[RowBox[List[FractionBox[RowBox[List[RowBox[List["Gamma", "[", "z", "]"]], RowBox[List["Gamma", "[", "w", "]"]]]], RowBox[List["Gamma", "[", RowBox[List["z", "+", "w"]], "]"]]], "\[Equal]", RowBox[List["Beta", "[", RowBox[List["z", ",", "w"]], "]"]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mfrac> <mrow> <mrow> <mi> Γ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> Γ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> w </mi> <mo> ) </mo> </mrow> </mrow> <mrow> <mi> Γ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> z </mi> <mo> + </mo> <mi> w </mi> </mrow> <mo> ) </mo> </mrow> </mfrac> <mo> ⩵ </mo> <mrow> <semantics> <mi> Β </mi> <annotation-xml encoding='MathML-Content'> <ci> Beta </ci> </annotation-xml> </semantics> <mo> ( </mo> <mrow> <mi> z </mi> <mo> , </mo> <mi> w </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <times /> <apply> <ci> Gamma </ci> <ci> z </ci> </apply> <apply> <ci> Gamma </ci> <ci> w </ci> </apply> <apply> <power /> <apply> <ci> Gamma </ci> <apply> <plus /> <ci> z </ci> <ci> w </ci> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <ci> Beta </ci> <ci> z </ci> <ci> w </ci> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", FractionBox[RowBox[List[RowBox[List["Gamma", "[", "z_", "]"]], " ", RowBox[List["Gamma", "[", "w_", "]"]]]], RowBox[List["Gamma", "[", RowBox[List["z_", "+", "w_"]], "]"]]], "]"]], "\[RuleDelayed]", RowBox[List["Beta", "[", RowBox[List["z", ",", "w"]], "]"]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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