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 Sinh

 http://functions.wolfram.com/01.19.09.0003.01

 Input Form

 Sinh[z] == (-I) Limit[MathieuS[a, q, (I z)/Sqrt[a]], a -> Infinity] /; Element[q, Reals]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Sinh", "[", "z", "]"]], "\[Equal]", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", RowBox[List["Limit", "[", RowBox[List[RowBox[List["MathieuS", "[", RowBox[List["a", ",", "q", ",", FractionBox[RowBox[List["\[ImaginaryI]", " ", "z"]], SqrtBox["a"]]]], "]"]], ",", RowBox[List["a", "\[Rule]", "\[Infinity]"]]]], "]"]]]]]], "/;", RowBox[List["q", "\[Element]", "Reals"]]]]]]

 MathML Form

 sinh ( z ) - lim a "\[Rule]" Se ( a , q , z a ) /; q TagBox["\[DoubleStruckCapitalR]", Function[Reals]] Condition z -1 a a Se a q z a 1 2 -1 q [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sinh", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", RowBox[List["Limit", "[", RowBox[List[RowBox[List["MathieuS", "[", RowBox[List["a", ",", "q", ",", FractionBox[RowBox[List["\[ImaginaryI]", " ", "z"]], SqrtBox["a"]]]], "]"]], ",", RowBox[List["a", "\[Rule]", "\[Infinity]"]]]], "]"]]]], "/;", RowBox[List["q", "\[Element]", "Reals"]]]]]]]]

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

 2001-10-29