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 BesselJ

 http://functions.wolfram.com/03.01.16.0004.01

 Input Form

 BesselJ[\[Nu], Sqrt[z^2]] == ((z^2)^(\[Nu]/2) BesselJ[\[Nu], z])/z^\[Nu]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["BesselJ", "[", RowBox[List["\[Nu]", ",", SqrtBox[SuperscriptBox["z", "2"]]]], "]"]], "\[Equal]", RowBox[List[SuperscriptBox["z", RowBox[List["-", "\[Nu]"]]], " ", SuperscriptBox[RowBox[List["(", SuperscriptBox["z", "2"], ")"]], RowBox[List["\[Nu]", "/", "2"]]], " ", RowBox[List["BesselJ", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]]]]]]

 MathML Form

 J ν ( z 2 ) z - ν ( z 2 ) ν / 2 J ν ( z ) BesselJ ν z 2 1 2 z -1 ν z 2 ν 2 -1 BesselJ ν z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BesselJ", "[", RowBox[List["\[Nu]_", ",", SqrtBox[SuperscriptBox["z_", "2"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["z", RowBox[List["-", "\[Nu]"]]], " ", SuperscriptBox[RowBox[List["(", SuperscriptBox["z", "2"], ")"]], RowBox[List["\[Nu]", "/", "2"]]], " ", RowBox[List["BesselJ", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]]]]]]

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

 2001-10-29