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variants of this functions
MeijerG




Mathematica Notation

Traditional Notation









Hypergeometric Functions > MeijerG[{{a1,...,an},{an+1,...,ap}},{{b1,...,bm},{bm+1,...,bq}},z] > Integration > Definite integration > Generalization of classical Meijer's integral from two G functions > Notations for conditions of convergence of generalization of classical Meijer's integral from two G functions





http://functions.wolfram.com/07.34.21.0021.01









  


  








Input Form





\[Psi] == (1/(q - p)) (Abs[Arg[\[Omega]]] + (q - m - n) Pi)








Standard Form





Cell[BoxData[RowBox[List["\[Psi]", "\[Equal]", RowBox[List[FractionBox["1", RowBox[List["q", "-", "p"]]], RowBox[List["(", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Arg", "[", "\[Omega]", "]"]], "]"]], "+", RowBox[List[RowBox[List["(", RowBox[List["q", "-", "m", "-", "n"]], ")"]], "\[Pi]"]]]], ")"]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mi> &#968; </mi> <mo> &#10869; </mo> <mfrac> <mrow> <mrow> <mi> &#960; </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mi> q </mi> <mo> - </mo> <mi> m </mi> <mo> - </mo> <mi> n </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[LeftBracketingBar]&quot; </annotation> </semantics> <mrow> <mi> arg </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> &#969; </mi> <mo> ) </mo> </mrow> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[RightBracketingBar]&quot; </annotation> </semantics> </mrow> </mrow> <mrow> <mi> q </mi> <mo> - </mo> <mi> p </mi> </mrow> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <ci> &#968; </ci> <apply> <times /> <apply> <plus /> <apply> <times /> <pi /> <apply> <plus /> <ci> q </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> m </ci> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <ci> n </ci> </apply> </apply> </apply> <apply> <abs /> <apply> <arg /> <ci> &#969; </ci> </apply> </apply> </apply> <apply> <power /> <apply> <plus /> <ci> q </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> p </ci> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "\[Psi]_", "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["Abs", "[", RowBox[List["Arg", "[", "\[Omega]", "]"]], "]"]], "+", RowBox[List[RowBox[List["(", RowBox[List["q", "-", "m", "-", "n"]], ")"]], " ", "\[Pi]"]]]], RowBox[List["q", "-", "p"]]]]]]]


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





2001-10-29