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 BesselK

 http://functions.wolfram.com/03.04.06.0040.01

 Input Form

 BesselK[1, z] \[Proportional] (1/z) (1 + O[z^2]) + (z/2) Log[z/2] (1 + O[z^2])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["BesselK", "[", RowBox[List["1", ",", "z"]], "]"]], "\[Proportional]", RowBox[List[RowBox[List[FractionBox["1", "z"], RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", SuperscriptBox["z", "2"], "]"]]]], ")"]]]], "+", RowBox[List[FractionBox["z", "2"], " ", RowBox[List["Log", "[", FractionBox["z", "2"], "]"]], RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", SuperscriptBox["z", "2"], "]"]]]], ")"]]]]]]]]]]

 MathML Form

 K 1 ( z ) 1 z ( 1 + O ( z 2 ) ) + z 2 log ( z 2 ) ( 1 + O ( z 2 ) ) Proportional BesselK 1 z 1 z -1 1 O z 2 z 2 -1 z 2 -1 1 O z 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BesselK", "[", RowBox[List["1", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["1", "+", SuperscriptBox[RowBox[List["O", "[", "z", "]"]], "2"]]], "z"], "+", RowBox[List[FractionBox["1", "2"], " ", "z", " ", RowBox[List["Log", "[", FractionBox["z", "2"], "]"]], " ", RowBox[List["(", RowBox[List["1", "+", SuperscriptBox[RowBox[List["O", "[", "z", "]"]], "2"]]], ")"]]]]]]]]]]

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

 2007-05-02