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 EllipticF

 http://functions.wolfram.com/08.05.16.0005.01

 Input Form

 EllipticF[I ArcSinh[z], m] == I InverseJacobiSC[z, 1 - m] /; m > 0 && Element[m, Reals]

 Standard Form

 Cell[BoxData[RowBox[List[" ", RowBox[List[RowBox[List[RowBox[List["EllipticF", "[", RowBox[List[RowBox[List["\[ImaginaryI]", " ", RowBox[List["ArcSinh", "[", "z", "]"]]]], ",", "m"]], "]"]], "\[Equal]", RowBox[List["\[ImaginaryI]", " ", RowBox[List["InverseJacobiSC", "[", RowBox[List["z", ",", RowBox[List["1", "-", "m"]]]], "]"]]]]]], "/;", RowBox[List[RowBox[List["m", ">", "0"]], "\[And]", RowBox[List["m", "\[Element]", "Reals"]]]]]]]]]]

 MathML Form

 F ( sinh - 1 ( z ) m ) sc - 1 ( z 1 - m ) /; m > 0 m TagBox["\[DoubleStruckCapitalR]", Function[Reals]] Condition EllipticF z m InverseJacobiSC z 1 -1 m m 0 m [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EllipticF", "[", RowBox[List[RowBox[List["\[ImaginaryI]", " ", RowBox[List["ArcSinh", "[", "z_", "]"]]]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["\[ImaginaryI]", " ", RowBox[List["InverseJacobiSC", "[", RowBox[List["z", ",", RowBox[List["1", "-", "m"]]]], "]"]]]], "/;", RowBox[List[RowBox[List["m", ">", "0"]], "&&", RowBox[List["m", "\[Element]", "Reals"]]]]]]]]]]

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

 2001-10-29