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variants of this functions
Gamma




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Gamma[z] > Inequalities





http://functions.wolfram.com/06.05.29.0001.01









  


  








Input Form





Abs[Gamma[z]] <= Abs[Gamma[Re[z]]]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Abs", "[", RowBox[List["Gamma", "[", "z", "]"]], "]"]], "\[LessEqual]", RowBox[List["Abs", "[", RowBox[List["Gamma", "[", RowBox[List["Re", "[", "z", "]"]], "]"]], "]"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[LeftBracketingBar]&quot; </annotation> </semantics> <mrow> <mi> &#915; </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[RightBracketingBar]&quot; </annotation> </semantics> </mrow> <mo> &#8804; </mo> <mrow> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[LeftBracketingBar]&quot; </annotation> </semantics> <mrow> <mi> &#915; </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> Re </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> ) </mo> </mrow> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[RightBracketingBar]&quot; </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <leq /> <apply> <abs /> <apply> <ci> Gamma </ci> <ci> z </ci> </apply> </apply> <apply> <abs /> <apply> <ci> Gamma </ci> <apply> <real /> <ci> z </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["Abs", "[", RowBox[List["Gamma", "[", "z", "]"]], "]"]], "\[LessEqual]", RowBox[List["Abs", "[", RowBox[List["Gamma", "[", RowBox[List["Re", "[", "z", "]"]], "]"]], "]"]]]]]]


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





2001-10-29