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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/07.34.21.0017.01









  


  








Input Form





\[Rho] == Sum[Subscript[d, j], {j, 1, v}] - Sum[Subscript[c, j], {j, 1, u}] + (u - v)/2 + 1








Standard Form





Cell[BoxData[RowBox[List["\[Rho]", "\[Equal]", RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["j", "=", "1"]], "v"], SubscriptBox["d", "j"]]], "-", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["j", "=", "1"]], "u"], SubscriptBox["c", "j"]]], "+", FractionBox[RowBox[List["u", "-", "v"]], "2"], "+", "1"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mi> &#961; </mi> <mo> &#10869; </mo> <mrow> <mrow> <munderover> <mo> &#8721; </mo> <mrow> <mi> j </mi> <mo> = </mo> <mn> 1 </mn> </mrow> <mi> v </mi> </munderover> <msub> <mi> d </mi> <mi> j </mi> </msub> </mrow> <mo> - </mo> <mrow> <munderover> <mo> &#8721; </mo> <mrow> <mi> j </mi> <mo> = </mo> <mn> 1 </mn> </mrow> <mi> u </mi> </munderover> <msub> <mi> c </mi> <mi> j </mi> </msub> </mrow> <mo> + </mo> <mfrac> <mrow> <mi> u </mi> <mo> - </mo> <mi> v </mi> </mrow> <mn> 2 </mn> </mfrac> <mo> + </mo> <mn> 1 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <ci> &#961; </ci> <apply> <plus /> <apply> <sum /> <bvar> <ci> j </ci> </bvar> <lowlimit> <cn type='integer'> 1 </cn> </lowlimit> <uplimit> <ci> v </ci> </uplimit> <apply> <ci> Subscript </ci> <ci> d </ci> <ci> j </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <sum /> <bvar> <ci> j </ci> </bvar> <lowlimit> <cn type='integer'> 1 </cn> </lowlimit> <uplimit> <ci> u </ci> </uplimit> <apply> <ci> Subscript </ci> <ci> c </ci> <ci> j </ci> </apply> </apply> </apply> <apply> <times /> <apply> <plus /> <ci> u </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> v </ci> </apply> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "\[Rho]_", "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["j", "=", "1"]], "v"], SubscriptBox["d", "j"]]], "-", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["j", "=", "1"]], "u"], SubscriptBox["c", "j"]]], "+", FractionBox[RowBox[List["u", "-", "v"]], "2"], "+", "1"]]]]]]


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





2001-10-29