Hyperbolic cosecant: Specific values (formula 01.23.03.0163)

Csch

$Mathematica Notation$

Elementary Functions

Csch[z]

Specific values

Values at fixed points

http://functions.wolfram.com/01.23.03.0163.01

Input Form

Csch[2 Pi I] == ComplexInfinity

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["Csch", "[", RowBox[List["2", "\[Pi]", " ", "\[ImaginaryI]"]], "]"]], "\[Equal]", "ComplexInfinity"]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> csch </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mi> π </mi> <mo> ⁢ </mo> <mi> ⅈ </mi> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mover> <mi> ∞ </mi> <mo> ~ </mo> </mover> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <csch /> <apply> <times /> <cn type='integer'> 2 </cn> <pi /> <imaginaryi /> </apply> </apply> <apply> <ci> OverTilde </ci> <infinity /> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Csch", "[", RowBox[List["2", " ", "\[Pi]", " ", "\[ImaginaryI]"]], "]"]], "]"]], "\[RuleDelayed]", "ComplexInfinity"]]]]

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

2001-10-29