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 EulerE

 http://functions.wolfram.com/04.12.23.0006.01

 Input Form

 Sum[(EulerE[n]/n!) z^n, {n, 0, Infinity}] == Sech[z] /; Abs[z] < Pi/2

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["n", "=", "0"]], "\[Infinity]"], RowBox[List[FractionBox[RowBox[List["EulerE", "[", "n", "]"]], RowBox[List["n", "!"]]], SuperscriptBox["z", "n"]]]]], "\[Equal]", RowBox[List["Sech", "[", "z", "]"]]]], "/;", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], "<", FractionBox["\[Pi]", "2"]]]]]]]

 MathML Form

 n = 0 E TagBox["E", EulerE] n z n n ! sech ( z ) /; "\[LeftBracketingBar]" z "\[RightBracketingBar]" < π 2 Condition n 0 EulerE n z n n -1 z z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["n_", "=", "0"]], "\[Infinity]"], FractionBox[RowBox[List[RowBox[List["EulerE", "[", "n_", "]"]], " ", SuperscriptBox["z_", "n_"]]], RowBox[List["n_", "!"]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Sech", "[", "z", "]"]], "/;", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], "<", FractionBox["\[Pi]", "2"]]]]]]]]]

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

 2001-10-29