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 Sinh

 http://functions.wolfram.com/01.19.08.0003.01

 Input Form

 Sinh[z] == z Product[Cosh[z/2^k], {k, 1, Infinity}] /; Abs[z] < 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Sinh", "[", "z", "]"]], "\[Equal]", RowBox[List["z", " ", RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], InterpretationBox["\[Infinity]", DirectedInfinity[1]]], RowBox[List["Cosh", "[", RowBox[List[SuperscriptBox["2", RowBox[List["-", "k"]]], " ", "z"]], "]"]]]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], "<", "1"]]]]]]

 MathML Form

 sinh ( z ) z k = 1 cosh ( 2 - k z ) /; "\[LeftBracketingBar]" z "\[RightBracketingBar]" < 1 Condition z z k 1 DirectedInfinity 1 2 -1 k z z 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sinh", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["z", " ", RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "\[Infinity]"], RowBox[List["Cosh", "[", RowBox[List[SuperscriptBox["2", RowBox[List["-", "k"]]], " ", "z"]], "]"]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], "<", "1"]]]]]]]]

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

 2001-10-29