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 SinhIntegral

 http://functions.wolfram.com/06.39.06.0002.01

 Input Form

 SinhIntegral[z] == z Sum[z^(2 k)/((1 + 2 k)^2 (2 k)!), {k, 0, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["SinhIntegral", "[", "z", "]"]], "\[Equal]", RowBox[List["z", " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[SuperscriptBox["z", RowBox[List["2", " ", "k"]]], RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["1", "+", RowBox[List["2", " ", "k"]]]], ")"]], "2"], " ", RowBox[List[RowBox[List["(", RowBox[List["2", " ", "k"]], ")"]], "!"]]]]]]]]]]]]]

 MathML Form

 Shi ( z ) z k = 0 z 2 k ( 1 + 2 k ) 2 ( 2 k ) ! SinhIntegral z z k 0 z 2 k 1 2 k 2 2 k -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["SinhIntegral", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List["z", " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[SuperscriptBox["z", RowBox[List["2", " ", "k"]]], RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["1", "+", RowBox[List["2", " ", "k"]]]], ")"]], "2"], " ", RowBox[List[RowBox[List["(", RowBox[List["2", " ", "k"]], ")"]], "!"]]]]]]]]]]]]]

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

 2001-10-29