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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/07.34.21.0023.01









  


  








Input Form





Subscript[\[Lambda], c] == (q - p) Abs[\[Omega]]^(1/(q - p)) Cos[\[Psi]] + (v - u) Abs[\[Sigma]]^(1/(v - u)) Cos[\[Theta]]








Standard Form





Cell[BoxData[RowBox[List[SubscriptBox["\[Lambda]", "c"], "\[Equal]", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["q", "-", "p"]], ")"]], SuperscriptBox[RowBox[List["Abs", "[", "\[Omega]", "]"]], RowBox[List["1", "/", RowBox[List["(", RowBox[List["q", "-", "p"]], ")"]]]]], RowBox[List["Cos", "[", "\[Psi]", "]"]]]], "+", RowBox[List[RowBox[List["(", RowBox[List["v", "-", "u"]], ")"]], SuperscriptBox[RowBox[List["Abs", "[", "\[Sigma]", "]"]], RowBox[List["1", "/", RowBox[List["(", RowBox[List["v", "-", "u"]], ")"]]]]], RowBox[List["Cos", "[", "\[Theta]", "]"]]]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <msub> <mi> &#955; </mi> <mi> c </mi> </msub> <mo> &#10869; </mo> <mrow> <mrow> <mrow> <mo> ( </mo> <mrow> <mi> q </mi> <mo> - </mo> <mi> p </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mtext> </mtext> <msup> <mrow> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[LeftBracketingBar]&quot; </annotation> </semantics> <mi> &#969; </mi> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[RightBracketingBar]&quot; </annotation> </semantics> </mrow> <mfrac> <mn> 1 </mn> <mrow> <mi> q </mi> <mo> - </mo> <mi> p </mi> </mrow> </mfrac> </msup> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> &#968; </mi> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mrow> <mo> ( </mo> <mrow> <mi> v </mi> <mo> - </mo> <mi> u </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mrow> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[LeftBracketingBar]&quot; </annotation> </semantics> <mi> &#963; </mi> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[RightBracketingBar]&quot; </annotation> </semantics> </mrow> <mfrac> <mn> 1 </mn> <mrow> <mi> v </mi> <mo> - </mo> <mi> u </mi> </mrow> </mfrac> </msup> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> &#952; </mi> <mo> ) </mo> </mrow> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> Subscript </ci> <ci> &#955; </ci> <ci> c </ci> </apply> <apply> <plus /> <apply> <times /> <apply> <plus /> <ci> q </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> p </ci> </apply> </apply> <apply> <power /> <apply> <abs /> <ci> &#969; </ci> </apply> <apply> <times /> <cn type='integer'> 1 </cn> <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> <apply> <cos /> <ci> &#968; </ci> </apply> </apply> <apply> <times /> <apply> <plus /> <ci> v </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> u </ci> </apply> </apply> <apply> <power /> <apply> <abs /> <ci> &#963; </ci> </apply> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <plus /> <ci> v </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> u </ci> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <cos /> <ci> &#952; </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SubscriptBox["$Failed", "c_"], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["q", "-", "p"]], ")"]], " ", SuperscriptBox[RowBox[List["Abs", "[", "\[Omega]", "]"]], FractionBox["1", RowBox[List["q", "-", "p"]]]], " ", RowBox[List["Cos", "[", "\[Psi]", "]"]]]], "+", RowBox[List[RowBox[List["(", RowBox[List["v", "-", "u"]], ")"]], " ", SuperscriptBox[RowBox[List["Abs", "[", "\[Sigma]", "]"]], FractionBox["1", RowBox[List["v", "-", "u"]]]], " ", RowBox[List["Cos", "[", "\[Theta]", "]"]]]]]]]]]]


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





2001-10-29