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 HypergeometricU

 http://functions.wolfram.com/07.33.03.0001.01

 Input Form

 HypergeometricU[a, b, 0] == Gamma[1 - b]/Gamma[a - b + 1] /; Re[b] < 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["HypergeometricU", "[", RowBox[List["a", ",", "b", ",", "0"]], "]"]], "\[Equal]", FractionBox[RowBox[List["Gamma", "[", RowBox[List["1", "-", "b"]], "]"]], RowBox[List["Gamma", "[", RowBox[List["a", "-", "b", "+", "1"]], "]"]]]]], "/;", RowBox[List[RowBox[List["Re", "[", "b", "]"]], "<", "1"]]]]]]

 MathML Form

 U TagBox["U", HypergeometricU] ( a , b , 0 ) Γ ( 1 - b ) Γ ( a - b + 1 ) /; Re ( b ) < 1 Condition HypergeometricU a b 0 Gamma 1 -1 b Gamma a -1 b 1 -1 b 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HypergeometricU", "[", RowBox[List["a_", ",", "b_", ",", "0"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["Gamma", "[", RowBox[List["1", "-", "b"]], "]"]], RowBox[List["Gamma", "[", RowBox[List["a", "-", "b", "+", "1"]], "]"]]], "/;", RowBox[List[RowBox[List["Re", "[", "b", "]"]], "<", "1"]]]]]]]]

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

 2001-10-29

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