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 JacobiDN

 http://functions.wolfram.com/09.29.21.0008.01

 Input Form

 Integrate[JacobiDN[z, m]/JacobiCN[z, m], z] == Log[(1 + JacobiSN[z, m])/JacobiCN[z, m]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[FractionBox[RowBox[List["JacobiDN", "[", RowBox[List["z", ",", "m"]], "]"]], RowBox[List["JacobiCN", "[", RowBox[List["z", ",", "m"]], "]"]]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List["Log", "[", FractionBox[RowBox[List["1", "+", RowBox[List["JacobiSN", "[", RowBox[List["z", ",", "m"]], "]"]]]], RowBox[List["JacobiCN", "[", RowBox[List["z", ",", "m"]], "]"]]], "]"]]]]]]

 MathML Form

 dn ( z m ) cn ( z m ) z log ( 1 + sn ( z m ) cn ( z m ) ) z JacobiDN z m JacobiCN z m -1 1 JacobiSN z m JacobiCN z m -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[FractionBox[RowBox[List["JacobiDN", "[", RowBox[List["z_", ",", "m_"]], "]"]], RowBox[List["JacobiCN", "[", RowBox[List["z_", ",", "m_"]], "]"]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["Log", "[", FractionBox[RowBox[List["1", "+", RowBox[List["JacobiSN", "[", RowBox[List["z", ",", "m"]], "]"]]]], RowBox[List["JacobiCN", "[", RowBox[List["z", ",", "m"]], "]"]]], "]"]]]]]]

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

 2001-10-29