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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] > Specific values > Specialized values > Cases with m==2 > Case {m,n,p,q}={2,2,2,2}





http://functions.wolfram.com/07.34.03.0871.01









  


  








Input Form





MeijerG[{{Subscript[a, 1], Subscript[a, 2]}, {}}, {{Subscript[b, 1], Subscript[b, 2]}, {}}, z] == z^Subscript[b, 1] Gamma[1 - Subscript[a, 1] + Subscript[b, 1]] Gamma[1 - Subscript[a, 2] + Subscript[b, 1]] Gamma[1 - Subscript[a, 2] + Subscript[b, 2]] Gamma[1 - Subscript[a, 1] + Subscript[b, 2]] Hypergeometric2F1Regularized[ 1 - Subscript[a, 1] + Subscript[b, 1], 1 - Subscript[a, 2] + Subscript[b, 1], 2 - Subscript[a, 1] - Subscript[a, 2] + Subscript[b, 1] + Subscript[b, 2], 1 - z]








Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["MeijerG", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List[SubscriptBox["a_", "1"], ",", SubscriptBox["a_", "2"]]], "}"]], ",", RowBox[List["{", "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List[SubscriptBox["b_", "1"], ",", SubscriptBox["b_", "2"]]], "}"]], ",", RowBox[List["{", "}"]]]], "}"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["z", SubscriptBox["bb", "1"]], " ", RowBox[List["Gamma", "[", RowBox[List["1", "-", SubscriptBox["aa", "1"], "+", SubscriptBox["bb", "1"]]], "]"]], " ", RowBox[List["Gamma", "[", RowBox[List["1", "-", SubscriptBox["aa", "2"], "+", SubscriptBox["bb", "1"]]], "]"]], " ", RowBox[List["Gamma", "[", RowBox[List["1", "-", SubscriptBox["aa", "2"], "+", SubscriptBox["bb", "2"]]], "]"]], " ", RowBox[List["Gamma", "[", RowBox[List["1", "-", SubscriptBox["aa", "1"], "+", SubscriptBox["bb", "2"]]], "]"]], " ", RowBox[List["Hypergeometric2F1Regularized", "[", RowBox[List[RowBox[List["1", "-", SubscriptBox["aa", "1"], "+", SubscriptBox["bb", "1"]]], ",", RowBox[List["1", "-", SubscriptBox["aa", "2"], "+", SubscriptBox["bb", "1"]]], ",", RowBox[List["2", "-", SubscriptBox["aa", "1"], "-", SubscriptBox["aa", "2"], "+", SubscriptBox["bb", "1"], "+", SubscriptBox["bb", "2"]]], ",", RowBox[List["1", "-", "z"]]]], "]"]]]]]]]]


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





2001-10-29