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MathieuCharacteristicA




Mathematica Notation

Traditional Notation









Mathieu and Spheroidal Functions > MathieuCharacteristicA[r,q] > Representations through equivalent functions > With related functions





http://functions.wolfram.com/11.05.27.0001.01









  


  








Input Form





MathieuCharacteristicA[r, q] == MathieuCharacteristicB[r, q] /; !Element[r, Integers] && Element[q, Reals]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["MathieuCharacteristicA", "[", RowBox[List["r", ",", "q"]], "]"]], "\[Equal]", RowBox[List["MathieuCharacteristicB", "[", RowBox[List["r", ",", "q"]], "]"]]]], "/;", RowBox[List[RowBox[List["Not", "[", RowBox[List["Element", "[", RowBox[List["r", ",", "Integers"]], "]"]], "]"]], "\[And]", RowBox[List["q", "\[Element]", "Reals"]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <msub> <semantics> <mi> a </mi> <annotation-xml encoding='MathML-Content'> <ci> MathieuCharacteristicA </ci> </annotation-xml> </semantics> <mi> r </mi> </msub> <mo> ( </mo> <mi> q </mi> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <msub> <semantics> <mi> b </mi> <annotation-xml encoding='MathML-Content'> <ci> MathieuCharacteristicB </ci> </annotation-xml> </semantics> <mi> r </mi> </msub> <mo> ( </mo> <mi> q </mi> <mo> ) </mo> </mrow> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> r </mi> <mo> &#8713; </mo> <semantics> <mi> &#8484; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalZ]&quot;, Function[Integers]] </annotation> </semantics> </mrow> <mo> &#8743; </mo> <mrow> <mi> q </mi> <mo> &#8712; </mo> <semantics> <mi> &#8477; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalR]&quot;, Function[Reals]] </annotation> </semantics> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> MathieuCharacteristicA </ci> <ci> r </ci> <ci> q </ci> </apply> <apply> <ci> MathieuCharacteristicB </ci> <ci> r </ci> <ci> q </ci> </apply> </apply> <apply> <and /> <apply> <notin /> <ci> r </ci> <integers /> </apply> <apply> <in /> <ci> q </ci> <reals /> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["MathieuCharacteristicA", "[", RowBox[List["r_", ",", "q_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["MathieuCharacteristicB", "[", RowBox[List["r", ",", "q"]], "]"]], "/;", RowBox[List[RowBox[List["!", RowBox[List["r", "\[Element]", "Integers"]]]], "&&", RowBox[List["q", "\[Element]", "Reals"]]]]]]]]]]


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





2001-10-29