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 KelvinKer

 http://functions.wolfram.com/03.20.03.0018.01

 Input Form

 KelvinKer[-(1/2), z] == ((1/Sqrt[z]) Sqrt[Pi/2] Cos[Pi/8 - z/Sqrt[2]])/ E^(z/Sqrt[2])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["KelvinKer", "[", RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["1", SqrtBox["z"]], SqrtBox[FractionBox["\[Pi]", "2"]], " ", SuperscriptBox["\[ExponentialE]", RowBox[List["-", FractionBox["z", SqrtBox["2"]]]]], RowBox[List["Cos", "[", RowBox[List[FractionBox["\[Pi]", "8"], "-", FractionBox["z", SqrtBox["2"]]]], "]"]]]]]]]]

 MathML Form

 ker - 1 2 ( z ) 1 z π 2 - z 2 cos ( π 8 - z 2 ) KelvinKer -1 1 2 z 1 z 1 2 -1 2 -1 1 2 -1 z 2 1 2 -1 8 -1 -1 z 2 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["KelvinKer", "[", RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SqrtBox[FractionBox["\[Pi]", "2"]], " ", SuperscriptBox["\[ExponentialE]", RowBox[List["-", FractionBox["z", SqrtBox["2"]]]]], " ", RowBox[List["Cos", "[", RowBox[List[FractionBox["\[Pi]", "8"], "-", FractionBox["z", SqrtBox["2"]]]], "]"]]]], SqrtBox["z"]]]]]]

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

 2007-05-02