Sine integral: Specific values (formula 06.37.03.0004)

SinIntegral

$Mathematica Notation$

http://functions.wolfram.com/06.37.03.0004.01

Input Form

SinIntegral[I Infinity] == DirectedInfinity[Complex[0, 1]]

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["SinIntegral", "[", RowBox[List["\[ImaginaryI]", " ", "\[Infinity]"]], "]"]], "\[Equal]", InterpretationBox[RowBox[List["\[ImaginaryI]", " ", "\[Infinity]"]], DirectedInfinity[Complex[0, 1]]]]]]]

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> Si </mi> <mo> ⁡ </mo> <mo> ( </mo> <semantics> <mrow> <mi> ⅈ </mi> <mo> ⁢ </mo> <mi> ∞ </mi> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> DirectedInfinity </ci> <cn type='complex-cartesian'> 0 <sep /> 1 </cn> </apply> </annotation-xml> </semantics> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <semantics> <mrow> <mi> ⅈ </mi> <mo> ⁢ </mo> <mi> ∞ </mi> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> DirectedInfinity </ci> <cn type='complex-cartesian'> 0 <sep /> 1 </cn> </apply> </annotation-xml> </semantics> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> SinIntegral </ci> <apply> <ci> DirectedInfinity </ci> <cn type='complex-cartesian'> 0 <sep /> 1 </cn> </apply> </apply> <apply> <ci> DirectedInfinity </ci> <cn type='complex-cartesian'> 0 <sep /> 1 </cn> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["SinIntegral", "[", RowBox[List["\[ImaginaryI]", " ", "\[Infinity]"]], "]"]], "]"]], "\[RuleDelayed]", TagBox[RowBox[List[TagBox[RowBox[List["Complex", "[", RowBox[List["0", ",", "1"]], "]"]], "DirectedInfinityCoefficient", Rule[Editable, True]], " ", "\[Infinity]"]], DirectedInfinity, Rule[Editable, False]]]]]]

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

2001-10-29