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 Gamma

 http://functions.wolfram.com/06.05.29.0008.01

 Input Form

 Sqrt[x + 1/2] > Gamma[x + 1]/Gamma[x + 1/2] > Sqrt[x + 1/4] /; Element[x, Reals] && x > -(1/4)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SqrtBox[RowBox[List["x", "+", FractionBox["1", "2"]]]], ">", FractionBox[RowBox[List["Gamma", "[", RowBox[List["x", "+", "1"]], "]"]], RowBox[List["Gamma", "[", RowBox[List["x", "+", FractionBox["1", "2"]]], "]"]]], ">", SqrtBox[RowBox[List["x", "+", FractionBox["1", "4"]]]]]], "/;", RowBox[List[RowBox[List["x", "\[Element]", "Reals"]], "\[And]", RowBox[List["x", ">", RowBox[List["-", FractionBox["1", "4"]]]]]]]]]]]

 MathML Form

 x + 1 2 > Γ ( x + 1 ) Γ ( x + 1 2 ) > x + 1 4 /; x TagBox["\[DoubleStruckCapitalR]", Function[Reals]] x > - 1 4 Condition x 1 2 1 2 Gamma x 1 Gamma x 1 2 -1 x 1 4 1 2 x x -1 1 4 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List[SqrtBox[RowBox[List["x", "+", FractionBox["1", "2"]]]], ">", FractionBox[RowBox[List["Gamma", "[", RowBox[List["x", "+", "1"]], "]"]], RowBox[List["Gamma", "[", RowBox[List["x", "+", FractionBox["1", "2"]]], "]"]]], ">", SqrtBox[RowBox[List["x", "+", FractionBox["1", "4"]]]]]], "/;", RowBox[List[RowBox[List["x", "\[Element]", "Reals"]], "&&", RowBox[List["x", ">", RowBox[List["-", FractionBox["1", "4"]]]]]]]]]]]

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

 2002-12-18