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http://functions.wolfram.com/06.05.17.0003.01
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Gamma[z] == Gamma[z + n]/Pochhammer[z, n]
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Cell[BoxData[RowBox[List[RowBox[List["Gamma", "[", "z", "]"]], "\[Equal]", FractionBox[RowBox[List["Gamma", "[", RowBox[List["z", "+", "n"]], "]"]], RowBox[List["Pochhammer", "[", RowBox[List["z", ",", "n"]], "]"]]]]]]]
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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> <mrow> <mi> Γ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mfrac> <mrow> <mi> Γ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> z </mi> <mo> + </mo> <mi> n </mi> </mrow> <mo> ) </mo> </mrow> <semantics> <msub> <mrow> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mi> n </mi> </msub> <annotation encoding='Mathematica'> TagBox[SubscriptBox[RowBox[List["(", "z", ")"]], "n"], Pochhammer] </annotation> </semantics> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> Gamma </ci> <ci> z </ci> </apply> <apply> <times /> <apply> <ci> Gamma </ci> <apply> <plus /> <ci> z </ci> <ci> n </ci> </apply> </apply> <apply> <power /> <apply> <ci> Pochhammer </ci> <ci> z </ci> <ci> n </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Gamma", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["Gamma", "[", RowBox[List["z", "+", "n"]], "]"]], RowBox[List["Pochhammer", "[", RowBox[List["z", ",", "n"]], "]"]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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