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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
Main formulas
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http://functions.wolfram.com/07.34.21.0014.01
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\[DoubleStruckCapitalC]\[DoubleStruckCapitalC] ==
(Subscript[\[DoubleStruckCapitalC], 1] || Subscript[\[DoubleStruckCapitalC],
2] || Subscript[\[DoubleStruckCapitalC], 3] ||
Subscript[\[DoubleStruckCapitalC], 4] || Subscript[\[DoubleStruckCapitalC],
5] || Subscript[\[DoubleStruckCapitalC], 6] ||
Subscript[\[DoubleStruckCapitalC], 7] || Subscript[\[DoubleStruckCapitalC],
8] || Subscript[\[DoubleStruckCapitalC], 9] ||
Subscript[\[DoubleStruckCapitalC], 10] ||
Subscript[\[DoubleStruckCapitalC], 11] ||
Subscript[\[DoubleStruckCapitalC], 12] ||
Subscript[\[DoubleStruckCapitalC], 13] ||
Subscript[\[DoubleStruckCapitalC], 14] ||
Subscript[\[DoubleStruckCapitalC], 15] ||
Subscript[\[DoubleStruckCapitalC], 16] ||
Subscript[\[DoubleStruckCapitalC], 17] ||
Subscript[\[DoubleStruckCapitalC], 18] ||
Subscript[\[DoubleStruckCapitalC], 19] ||
Subscript[\[DoubleStruckCapitalC], 20] ||
Subscript[\[DoubleStruckCapitalC], 21] ||
Subscript[\[DoubleStruckCapitalC], 22] ||
Subscript[\[DoubleStruckCapitalC], 23] ||
Subscript[\[DoubleStruckCapitalC], 24] ||
Subscript[\[DoubleStruckCapitalC], 25] ||
Subscript[\[DoubleStruckCapitalC], 26] ||
Subscript[\[DoubleStruckCapitalC], 27] ||
Subscript[\[DoubleStruckCapitalC], 28] ||
Subscript[\[DoubleStruckCapitalC], 29] ||
Subscript[\[DoubleStruckCapitalC], 30] ||
Subscript[\[DoubleStruckCapitalC], 31] ||
Subscript[\[DoubleStruckCapitalC], 32] ||
Subscript[\[DoubleStruckCapitalC], 33] ||
Subscript[\[DoubleStruckCapitalC], 34] ||
Subscript[\[DoubleStruckCapitalC], 35])
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Cell[BoxData[RowBox[List["\[DoubleStruckCapitalC]\[DoubleStruckCapitalC]", "\[Equal]", RowBox[List["(", RowBox[List[SubscriptBox["\[DoubleStruckCapitalC]", "1"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "2"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "3"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "4"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "5"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "6"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "7"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "8"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "9"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "10"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "11"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "12"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "13"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "14"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "15"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "16"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "17"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "18"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "19"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "20"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "21"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "22"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "23"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "24"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "25"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "26"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "27"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "28"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "29"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "30"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "31"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "32"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "33"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "34"], "\[Or]", SubscriptBox["\[DoubleStruckCapitalC]", "35"]]], ")"]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mi> ℂℂ </mi> <mo> ⩵ </mo> <mrow> <mo> ( </mo> <mrow> <msub> <mi> ℂ </mi> <mn> 1 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 2 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 3 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 4 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 5 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 6 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 7 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 8 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 9 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 10 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 11 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 12 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 13 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 14 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 15 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 16 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 17 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 18 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 19 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 20 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 21 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 22 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 23 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 24 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 25 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 26 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 27 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 28 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 29 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 30 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 31 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 32 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 33 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 34 </mn> </msub> <mo> ∨ </mo> <msub> <mi> ℂ </mi> <mn> 35 </mn> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <ci> ℂℂ </ci> <apply> <or /> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 1 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 2 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 3 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 4 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 5 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 6 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 7 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 8 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 9 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 10 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 11 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 12 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 13 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 14 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 15 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 16 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 17 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 18 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 19 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 20 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 21 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 22 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 23 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 24 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 25 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 26 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 27 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 28 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 29 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 30 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 31 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 32 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 33 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 34 </cn> </apply> <apply> <ci> Subscript </ci> <ci> ℂ </ci> <cn type='integer'> 35 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "\[DoubleStruckCapitalC]\[DoubleStruckCapitalC]_", "]"]], "\[RuleDelayed]", RowBox[List[SubscriptBox["\[DoubleStruckCapitalC]", "1"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "2"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "3"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "4"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "5"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "6"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "7"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "8"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "9"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "10"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "11"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "12"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "13"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "14"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "15"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "16"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "17"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "18"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "19"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "20"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "21"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "22"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "23"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "24"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "25"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "26"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "27"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "28"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "29"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "30"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "31"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "32"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "33"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "34"], "||", SubscriptBox["\[DoubleStruckCapitalC]", "35"]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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| MeijerG[{{a1,...,an},{an+1,...,ap}},{{b1,...,bm},{bm+1,...,bq}},z,r] | | |
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){kind=small}
