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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 > Fifteen subgroups for major 39 groups





http://functions.wolfram.com/07.34.21.0031.01









  


  








Input Form





Subscript[\[DoubleStruckG], 3] == (Re[\[Alpha] + Subscript[c, g] + r Subscript[a, i]] < r + 1 /; 1 <= i <= n && 1 <= g <= t)








Standard Form





Cell[BoxData[RowBox[List[SubscriptBox["\[DoubleStruckG]", "3"], "\[Equal]", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["Re", "[", RowBox[List["\[Alpha]", "+", SubscriptBox["c", "g"], "+", RowBox[List["r", " ", SubscriptBox["a", "i"]]]]], "]"]], "<", RowBox[List["r", "+", "1"]]]], "/;", RowBox[List[RowBox[List["1", "\[LessEqual]", "i", "\[LessEqual]", "n"]], "\[And]", RowBox[List["1", "\[LessEqual]", "g", "\[LessEqual]", "t"]]]]]], ")"]]]]]]








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> &#120152; </mi> <mn> 3 </mn> </msub> <mo> &#10869; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mrow> <mi> Re </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> &#945; </mi> <mo> + </mo> <mrow> <mi> r </mi> <mo> &#8290; </mo> <msub> <mi> a </mi> <mi> i </mi> </msub> </mrow> <mo> + </mo> <msub> <mi> c </mi> <mi> g </mi> </msub> </mrow> <mo> ) </mo> </mrow> <mo> &lt; </mo> <mrow> <mi> r </mi> <mo> + </mo> <mn> 1 </mn> </mrow> </mrow> <mo> /; </mo> <mrow> <mrow> <mn> 1 </mn> <mo> &#8804; </mo> <mi> i </mi> <mo> &#8804; </mo> <mi> n </mi> </mrow> <mo> &#8743; </mo> <mrow> <mn> 1 </mn> <mo> &#8804; </mo> <mi> g </mi> <mo> &#8804; </mo> <mi> t </mi> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> Subscript </ci> <ci> &#120152; </ci> <cn type='integer'> 3 </cn> </apply> <apply> <ci> Condition </ci> <apply> <lt /> <apply> <real /> <apply> <plus /> <ci> &#945; </ci> <apply> <times /> <ci> r </ci> <apply> <ci> Subscript </ci> <ci> a </ci> <ci> i </ci> </apply> </apply> <apply> <ci> Subscript </ci> <ci> c </ci> <ci> g </ci> </apply> </apply> </apply> <apply> <plus /> <ci> r </ci> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <and /> <apply> <leq /> <cn type='integer'> 1 </cn> <ci> i </ci> <ci> n </ci> </apply> <apply> <leq /> <cn type='integer'> 1 </cn> <ci> g </ci> <ci> t </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SubscriptBox["$Failed", "3"], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["Re", "[", RowBox[List["\[Alpha]", "+", SubscriptBox["c", "g"], "+", RowBox[List["r", " ", SubscriptBox["a", "i"]]]]], "]"]], "<", RowBox[List["r", "+", "1"]]]], "/;", RowBox[List[RowBox[List["1", "\[LessEqual]", "i", "\[LessEqual]", "n"]], "&&", RowBox[List["1", "\[LessEqual]", "g", "\[LessEqual]", "t"]]]]]]]]]]


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





2001-10-29