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 EllipticPi

 http://functions.wolfram.com/08.06.20.0003.01

 Input Form

 D[EllipticPi[n, z, m], z] == 1/(Sqrt[1 - m Sin[z]^2] (1 - n Sin[z]^2))

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubscriptBox["\[PartialD]", "z"], RowBox[List["EllipticPi", "[", RowBox[List["n", ",", "z", ",", "m"]], "]"]]]], "\[Equal]", FractionBox["1", RowBox[List[SqrtBox[RowBox[List["1", "-", RowBox[List["m", " ", SuperscriptBox[RowBox[List["Sin", "[", "z", "]"]], "2"]]]]]], " ", RowBox[List["(", RowBox[List["1", "-", RowBox[List["n", " ", SuperscriptBox[RowBox[List["Sin", "[", "z", "]"]], "2"]]]]], ")"]]]]]]]]]

 MathML Form

 Π ( n ; z m ) z 1 1 - m sin 2 ( z ) ( 1 - n sin 2 ( z ) ) z EllipticPi n z m 1 1 -1 m z 2 1 2 1 -1 n z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["z_"]]], RowBox[List["EllipticPi", "[", RowBox[List["n_", ",", "z_", ",", "m_"]], "]"]]]], "]"]], "\[RuleDelayed]", FractionBox["1", RowBox[List[SqrtBox[RowBox[List["1", "-", RowBox[List["m", " ", SuperscriptBox[RowBox[List["Sin", "[", "z", "]"]], "2"]]]]]], " ", RowBox[List["(", RowBox[List["1", "-", RowBox[List["n", " ", SuperscriptBox[RowBox[List["Sin", "[", "z", "]"]], "2"]]]]], ")"]]]]]]]]]

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

 2001-10-29