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variants of this functions
Gamma




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Gamma[z] > Transformations > Products, sums, and powers of the direct function > Products of the direct function





http://functions.wolfram.com/06.05.16.0017.01









  


  








Input Form





Gamma[z + n]/Gamma[z] == Pochhammer[z, n]








Standard Form





Cell[BoxData[RowBox[List[FractionBox[RowBox[List["Gamma", "[", RowBox[List["z", "+", "n"]], "]"]], RowBox[List["Gamma", "[", "z", "]"]]], "\[Equal]", RowBox[List["Pochhammer", "[", RowBox[List["z", ",", "n"]], "]"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mfrac> <mrow> <mi> &#915; </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> z </mi> <mo> + </mo> <mi> n </mi> </mrow> <mo> ) </mo> </mrow> <mrow> <mi> &#915; </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mfrac> <mo> &#10869; </mo> <semantics> <msub> <mrow> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mi> n </mi> </msub> <annotation encoding='Mathematica'> TagBox[SubscriptBox[RowBox[List[&quot;(&quot;, &quot;z&quot;, &quot;)&quot;]], &quot;n&quot;], Pochhammer] </annotation> </semantics> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <times /> <apply> <ci> Gamma </ci> <apply> <plus /> <ci> z </ci> <ci> n </ci> </apply> </apply> <apply> <power /> <apply> <ci> Gamma </ci> <ci> z </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <ci> Pochhammer </ci> <ci> z </ci> <ci> n </ci> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", FractionBox[RowBox[List["Gamma", "[", RowBox[List["z_", "+", "n_"]], "]"]], RowBox[List["Gamma", "[", "z_", "]"]]], "]"]], "\[RuleDelayed]", RowBox[List["Pochhammer", "[", RowBox[List["z", ",", "n"]], "]"]]]]]]


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





2001-10-29