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 ArcTan

 http://functions.wolfram.com/01.14.23.0002.01

 Input Form

 Sum[ArcTan[Sinh[z]/Cosh[k z]], {k, 1, Infinity}] == (3/4) Pi - ArcTan[E^z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], RowBox[List["ArcTan", "[", FractionBox[RowBox[List["Sinh", "[", "z", "]"]], RowBox[List["Cosh", "[", RowBox[List["k", " ", "z"]], "]"]]], "]"]]]], "\[Equal]", RowBox[List[RowBox[List[FractionBox["3", "4"], "\[Pi]"]], "-", RowBox[List["ArcTan", "[", SuperscriptBox["\[ExponentialE]", "z"], "]"]]]]]]]]

 MathML Form

 k = 1 tan - 1 ( sinh ( z ) cosh ( k z ) ) 3 π 4 - tan - 1 ( z ) k 1 z k z -1 3 4 -1 -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k_", "=", "1"]], "\[Infinity]"], RowBox[List["ArcTan", "[", FractionBox[RowBox[List["Sinh", "[", "z_", "]"]], RowBox[List["Cosh", "[", RowBox[List["k_", " ", "z_"]], "]"]]], "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["3", " ", "\[Pi]"]], "4"], "-", RowBox[List["ArcTan", "[", SuperscriptBox["\[ExponentialE]", "z"], "]"]]]]]]]]

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

 2001-10-29