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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}={2,1,2,2}





http://functions.wolfram.com/07.34.03.0782.01









  


  








Input Form





MeijerG[{{a}, {2 b - a + 1}}, {{b, b + 1/2}, {}}, z] == Sqrt[Pi] z^b ((-Sqrt[z] + Sqrt[1 + z])^(1 - 2 a + 2 b)/Sqrt[1 + z]) /; !IntervalMemberQ[Interval[{-1, 0}], 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["{", "a_", "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["2", " ", "b_"]], "-", "a_", "+", "1"]], "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List["b_", ",", RowBox[List["b_", "+", FractionBox["1", "2"]]]]], "}"]], ",", RowBox[List["{", "}"]]]], "}"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List[SqrtBox["\[Pi]"], " ", SuperscriptBox["z", "b"], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["-", SqrtBox["z"]]], "+", SqrtBox[RowBox[List["1", "+", "z"]]]]], ")"]], RowBox[List["1", "-", RowBox[List["2", " ", "a"]], "+", RowBox[List["2", " ", "b"]]]]]]], SqrtBox[RowBox[List["1", "+", "z"]]]], "/;", RowBox[List["!", RowBox[List["IntervalMemberQ", "[", RowBox[List[RowBox[List["Interval", "[", RowBox[List["{", RowBox[List[RowBox[List["-", "1"]], ",", "0"]], "}"]], "]"]], ",", "z"]], "]"]]]]]]]]]]


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





2001-10-29