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 Sinh

 http://functions.wolfram.com/01.19.03.0002.01

 Input Form

 Sinh[Pi I (1/2 + m)] == I (-1)^m /; Element[m, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Sinh", "[", RowBox[List["\[Pi]", " ", "\[ImaginaryI]", RowBox[List["(", RowBox[List[FractionBox["1", "2"], "+", "m"]], ")"]]]], "]"]], "\[Equal]", RowBox[List["\[ImaginaryI]", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "m"]]]]], "/;", RowBox[List["m", "\[Element]", "Integers"]]]]]]

 MathML Form

 sinh ( π ( 1 2 + m ) ) ( - 1 ) m /; m TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Condition 1 2 m -1 m m [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sinh", "[", RowBox[List["\[Pi]", " ", "\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[FractionBox["1", "2"], "+", "m_"]], ")"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["\[ImaginaryI]", " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "m"]]], "/;", RowBox[List["m", "\[Element]", "Integers"]]]]]]]]

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

 2001-10-29