Hyperbolic secant: Specific values (formula 01.24.03.0117)

Sech

$Mathematica Notation$

Elementary Functions

Sech[z]

Specific values

Values at fixed points

http://functions.wolfram.com/01.24.03.0117.01

Input Form

Sech[(3 Pi I)/2] == ComplexInfinity

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["Sech", "[", FractionBox[RowBox[List["3", "\[Pi]", " ", "\[ImaginaryI]"]], "2"], "]"]], "\[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> sech </mi> <mo> ⁡ </mo> <mo> ( </mo> <mfrac> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> π </mi> <mo> ⁢ </mo> <mi> ⅈ </mi> </mrow> <mn> 2 </mn> </mfrac> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mover> <mi> ∞ </mi> <mo> ~ </mo> </mover> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <sech /> <apply> <times /> <cn type='integer'> 3 </cn> <pi /> <imaginaryi /> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <ci> OverTilde </ci> <infinity /> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sech", "[", FractionBox[RowBox[List["3", " ", "\[Pi]", " ", "\[ImaginaryI]"]], "2"], "]"]], "]"]], "\[RuleDelayed]", "ComplexInfinity"]]]]

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

2001-10-29