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 JacobiCS

 http://functions.wolfram.com/09.27.03.0025.01

 Input Form

 JacobiCS[2 r EllipticK[m] + 2 s I EllipticK[1 - m], m] == ComplexInfinity /; Element[{r, s}, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["JacobiCS", "[", RowBox[List[RowBox[List[RowBox[List["2", "r", " ", RowBox[List["EllipticK", "[", "m", "]"]]]], "+", RowBox[List["2", "s", " ", "\[ImaginaryI]", " ", RowBox[List["EllipticK", "[", RowBox[List["1", "-", "m"]], "]"]]]]]], ",", "m"]], "]"]], "\[Equal]", "ComplexInfinity"]], "/;", RowBox[List[RowBox[List["{", RowBox[List["r", ",", "s"]], "}"]], "\[Element]", "Integers"]]]]]]

 MathML Form

 cs ( 2 r K ( m ) + 2 s K ( 1 - m ) m ) ~ /; { r , s } TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Condition JacobiCS 2 r EllipticK m 2 s EllipticK 1 -1 m m OverTilde r s [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiCS", "[", RowBox[List[RowBox[List[RowBox[List["2", " ", "r_", " ", RowBox[List["EllipticK", "[", "m_", "]"]]]], "+", RowBox[List["2", " ", "s_", " ", "\[ImaginaryI]", " ", RowBox[List["EllipticK", "[", RowBox[List["1", "-", "m_"]], "]"]]]]]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["ComplexInfinity", "/;", RowBox[List[RowBox[List["{", RowBox[List["r", ",", "s"]], "}"]], "\[Element]", "Integers"]]]]]]]]

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

 2001-10-29