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 EllipticK

 http://functions.wolfram.com/08.02.06.0001.02

 Input Form

 EllipticK[z] \[Proportional] (Pi/2) (1 + z/4 + (9 z^2)/64 + \[Ellipsis]) /; (z -> 0)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["EllipticK", "[", "z", "]"]], "\[Proportional]", RowBox[List[FractionBox["\[Pi]", "2"], RowBox[List["(", RowBox[List["1", "+", FractionBox["z", "4"], "+", FractionBox[RowBox[List["9", " ", SuperscriptBox["z", "2"]]], "64"], "+", "\[Ellipsis]"]], ")"]]]]]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "0"]], ")"]]]]]]

 MathML Form

 K ( z ) π 2 ( 1 + z 4 + 9 z 2 64 + ) /; ( z "\[Rule]" 0 ) Condition Proportional EllipticK z 2 -1 1 z 4 -1 9 z 2 64 -1 Rule z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EllipticK", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", "\[Pi]", " ", RowBox[List["(", RowBox[List["1", "+", FractionBox["z", "4"], "+", FractionBox[RowBox[List["9", " ", SuperscriptBox["z", "2"]]], "64"], "+", "\[Ellipsis]"]], ")"]]]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "0"]], ")"]]]]]]]]

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

 2001-10-29