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 JacobiCS

 http://functions.wolfram.com/09.27.16.0022.01

 Input Form

 JacobiCS[z + (2 r + 1) EllipticK[m], m] == (-Sqrt[1 - m]) JacobiSC[z, m] /; Element[r, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["JacobiCS", "[", RowBox[List[RowBox[List["z", "+", RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["2", "r"]], "+", "1"]], ")"]], RowBox[List["EllipticK", "[", "m", "]"]]]]]], ",", "m"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", SqrtBox[RowBox[List["1", "-", "m"]]]]], " ", RowBox[List["JacobiSC", "[", RowBox[List["z", ",", "m"]], "]"]]]]]], "/;", RowBox[List["r", "\[Element]", "Integers"]]]]]]

 MathML Form

 cs ( z + ( 2 r + 1 ) K ( m ) m ) - 1 - m sc ( z m ) /; r TagBox["\[DoubleStruckCapitalZ]", Function[List[], Integers]] Condition JacobiCS z 2 r 1 EllipticK m m -1 1 -1 m 1 2 JacobiSC z m r [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiCS", "[", RowBox[List[RowBox[List["z_", "+", RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["2", " ", "r_"]], "+", "1"]], ")"]], " ", RowBox[List["EllipticK", "[", "m_", "]"]]]]]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", SqrtBox[RowBox[List["1", "-", "m"]]]]], " ", RowBox[List["JacobiSC", "[", RowBox[List["z", ",", "m"]], "]"]]]], "/;", RowBox[List["r", "\[Element]", "Integers"]]]]]]]]

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

 2007-05-02