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 BesselK

 http://functions.wolfram.com/03.04.06.0039.01

 Input Form

 BesselK[0, z] \[Proportional] (-Log[z/2]) (1 + O[z^2]) - EulerGamma (1 + O[z^2])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["BesselK", "[", RowBox[List["0", ",", "z"]], "]"]], "\[Proportional]", RowBox[List[RowBox[List[RowBox[List["-", RowBox[List["Log", "[", FractionBox["z", "2"], "]"]]]], RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", SuperscriptBox["z", "2"], "]"]]]], ")"]]]], "-", RowBox[List["EulerGamma", RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", SuperscriptBox["z", "2"], "]"]]]], ")"]]]]]]]]]]

 MathML Form

 K 0 ( z ) - log ( z 2 ) ( 1 + O ( z 2 ) ) - TagBox["\[DoubledGamma]", Function[EulerGamma]] ( 1 + O ( z 2 ) ) Proportional BesselK 0 z -1 z 2 -1 1 O z 2 -1 1 O z 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BesselK", "[", RowBox[List["0", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", RowBox[List["Log", "[", FractionBox["z", "2"], "]"]]]], " ", RowBox[List["(", RowBox[List["1", "+", SuperscriptBox[RowBox[List["O", "[", "z", "]"]], "2"]]], ")"]]]], "-", RowBox[List["EulerGamma", " ", RowBox[List["(", RowBox[List["1", "+", SuperscriptBox[RowBox[List["O", "[", "z", "]"]], "2"]]], ")"]]]]]]]]]]

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

 2007-05-02