Characteristic exponent of a Mathieu function: General characteristics (formula 11.07.04.0002)

MathieuCharacteristicExponent

$Mathematica Notation$

Mathieu and Spheroidal Functions

MathieuCharacteristicExponent[a,q]

General characteristics

Symmetries and periodicities

Parity

http://functions.wolfram.com/11.07.04.0002.01

Input Form

MathieuCharacteristicExponent[a, -q] == Conjugate[MathieuCharacteristicExponent[a, q]]

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["MathieuCharacteristicExponent", "[", RowBox[List["a", ",", RowBox[List["-", "q"]]]], "]"]], "\[Equal]", RowBox[List["Conjugate", "[", RowBox[List["MathieuCharacteristicExponent", "[", RowBox[List["a", ",", "q"]], "]"]], "]"]]]]]]

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> r </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> a </mi> <mo> , </mo> <mrow> <mo> - </mo> <mi> q </mi> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mover> <mrow> <mi> r </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> a </mi> <mo> , </mo> <mi> q </mi> </mrow> <mo> ) </mo> </mrow> <mo> _ </mo> </mover> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> r </ci> <ci> a </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> q </ci> </apply> </apply> <apply> <ci> OverBar </ci> <apply> <ci> r </ci> <ci> a </ci> <ci> q </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["MathieuCharacteristicExponent", "[", RowBox[List["a_", ",", RowBox[List["-", "q_"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Conjugate", "[", RowBox[List["MathieuCharacteristicExponent", "[", RowBox[List["a", ",", "q"]], "]"]], "]"]]]]]]

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

2001-10-29