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 IntegerPart

 http://functions.wolfram.com/04.04.20.0003.01

 Input Form

 D[IntegerPart[z], {z, \[Alpha]}] == IntegerPart[z]/ (z^\[Alpha] Gamma[1 - \[Alpha]])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["{", RowBox[List["z", ",", "\[Alpha]"]], "}"]]], RowBox[List["IntegerPart", "[", "z", "]"]]]], "\[Equal]", FractionBox[RowBox[List[RowBox[List["IntegerPart", "[", "z", "]"]], SuperscriptBox["z", RowBox[List["-", "\[Alpha]"]]]]], RowBox[List[" ", RowBox[List["Gamma", "[", RowBox[List["1", "-", "\[Alpha]"]], "]"]]]]]]]]]

 MathML Form

 α int ( z ) z α int ( z ) z - α Γ ( 1 - α ) z α int z int z z -1 α Gamma 1 -1 α -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List[RowBox[List["{", RowBox[List["z_", ",", "\[Alpha]_"]], "}"]]]]], RowBox[List["IntegerPart", "[", "z_", "]"]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["IntegerPart", "[", "z", "]"]], " ", SuperscriptBox["z", RowBox[List["-", "\[Alpha]"]]]]], RowBox[List["Gamma", "[", RowBox[List["1", "-", "\[Alpha]"]], "]"]]]]]]]

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

 2001-10-29