Abs[1 - x]^\[Nu] == (Pi/Gamma[-\[Nu]]) Sec[(\[Nu] Pi)/2] MeijerG[{{\[Nu] + 1}, {(\[Nu] + 1)/2}}, {{0}, {(\[Nu] + 1)/2}}, x] /; x > 0

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Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["Abs", "[", RowBox[List["1", "-", "x_"]], "]"]], "\[Nu]_"], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", RowBox[List["Sec", "[", FractionBox[RowBox[List["\[Nu]", " ", "\[Pi]"]], "2"], "]"]], " ", RowBox[List["MeijerG", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List["\[Nu]", "+", "1"]], "}"]], ",", RowBox[List["{", FractionBox[RowBox[List["\[Nu]", "+", "1"]], "2"], "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", "0", "}"]], ",", RowBox[List["{", FractionBox[RowBox[List["\[Nu]", "+", "1"]], "2"], "}"]]]], "}"]], ",", "x"]], "]"]]]], RowBox[List["Gamma", "[", RowBox[List["-", "\[Nu]"]], "]"]]], "/;", RowBox[List["x", ">", "0"]]]]]]]]

2001-10-29