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 Cot

 http://functions.wolfram.com/01.09.06.0016.01

 Input Form

 Cot[z] \[Proportional] I /; (z -> E^(I \[Phi]) Infinity) && -Pi < \[Phi] < 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Cot", "[", "z", "]"]], "\[Proportional]", "\[ImaginaryI]"]], " ", "/;", RowBox[List[RowBox[List["(", RowBox[List["z", "\[Rule]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", "\[Phi]"]]], " ", "\[Infinity]"]]]], ")"]], "\[And]", RowBox[List[RowBox[List["-", "\[Pi]"]], "<", "\[Phi]", "<", "0"]]]]]]]]

 MathML Form

 cot ( z ) /; ( z "\[Rule]" ϕ ) - π < ϕ < 0 Condition Proportional z Rule z ϕ -1 ϕ 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Cot", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List["\[ImaginaryI]", "/;", RowBox[List[RowBox[List["(", RowBox[List["z", "\[Rule]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", "\[Phi]"]]], " ", "\[Infinity]"]]]], ")"]], "&&", RowBox[List[RowBox[List["-", "\[Pi]"]], "<", "\[Phi]", "<", "0"]]]]]]]]]]

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

 2001-10-29