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variants of this functions
HeavisideTheta




Mathematica Notation

Traditional Notation









Generalized Functions > HeavisideTheta[x] > Representations through more general functions > Through Meijer G > Classical cases for the direct function itself





http://functions.wolfram.com/14.05.26.0002.01









  


  








Input Form





HeavisideTheta[x] == MeijerG[{{1}, {}}, {{}, {0}}, 1 + x] /; x > -2








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["HeavisideTheta", "[", "x", "]"]], "\[Equal]", RowBox[List["MeijerG", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", "1", "}"]], ",", RowBox[List["{", "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", "}"]], ",", RowBox[List["{", "0", "}"]]]], "}"]], ",", RowBox[List["1", "+", "x"]]]], "]"]]]], "/;", RowBox[List["x", ">", RowBox[List["-", "2"]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <semantics> <mi> &#952; </mi> <annotation-xml encoding='MathML-Content'> <ci> HeavisideTheta </ci> </annotation-xml> </semantics> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> <mo> &#63449; </mo> <semantics> <mrow> <msubsup> <mi> G </mi> <mrow> <mn> 1 </mn> <mo> , </mo> <mn> 1 </mn> </mrow> <mrow> <mn> 0 </mn> <mo> , </mo> <mn> 1 </mn> </mrow> </msubsup> <mo> &#8289; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> x </mi> <mo> + </mo> <mn> 1 </mn> </mrow> <mo> &#10072; </mo> <mtable> <mtr> <mtd> <mn> 1 </mn> </mtd> </mtr> <mtr> <mtd> <mn> 0 </mn> </mtd> </mtr> </mtable> </mrow> <mo> ) </mo> </mrow> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[SubsuperscriptBox[TagBox[&quot;G&quot;, MeijerG], RowBox[List[&quot;1&quot;, &quot;,&quot;, &quot;1&quot;]], RowBox[List[&quot;0&quot;, &quot;,&quot;, &quot;1&quot;]]], &quot;\[InvisibleApplication]&quot;, RowBox[List[&quot;(&quot;, RowBox[List[TagBox[RowBox[List[&quot;x&quot;, &quot;+&quot;, &quot;1&quot;]], MeijerG, Rule[Editable, True], Rule[Selectable, True]], &quot;\[VerticalSeparator]&quot;, GridBox[List[List[TagBox[&quot;1&quot;, MeijerG, Rule[Editable, True], Rule[Selectable, True]]], List[TagBox[&quot;0&quot;, MeijerG, Rule[Editable, True], Rule[Selectable, True]]]]]]], &quot;)&quot;]]]], MeijerG, Rule[Editable, False], Rule[Selectable, False]] </annotation> </semantics> </mrow> <mo> /; </mo> <mrow> <mi> x </mi> <mo> &gt; </mo> <mrow> <mo> - </mo> <mn> 2 </mn> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> HeavisideTheta </ci> <ci> x </ci> </apply> <apply> <ci> MeijerG </ci> <list> <list> <cn type='integer'> 1 </cn> </list> <list /> </list> <list> <list /> <list> <cn type='integer'> 0 </cn> </list> </list> <apply> <plus /> <ci> x </ci> <cn type='integer'> 1 </cn> </apply> </apply> </apply> <apply> <gt /> <ci> x </ci> <cn type='integer'> -2 </cn> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HeavisideTheta", "[", "x_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["MeijerG", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", "1", "}"]], ",", RowBox[List["{", "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", "}"]], ",", RowBox[List["{", "0", "}"]]]], "}"]], ",", RowBox[List["1", "+", "x"]]]], "]"]], "/;", RowBox[List["x", ">", RowBox[List["-", "2"]]]]]]]]]]


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





2007-05-02