Radial spheroidal function of the first kind: Primary definition (formula 11.10.02.0001)

SpheroidalS1

$Mathematica Notation$

Mathieu and Spheroidal Functions

SpheroidalS1[nu,mu,gamma,z]

Primary definition

http://functions.wolfram.com/11.10.02.0001.01

Input Form

SpheroidalS1[\[Nu], \[Mu], \[Gamma], z]

Standard Form

Cell[BoxData[RowBox[List["SpheroidalS1", "[", RowBox[List["\[Nu]", ",", "\[Mu]", ",", "\[Gamma]", ",", "z"]], "]"]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <semantics> <mrow> <msubsup> <mi> S </mi> <mrow> <mi> ν </mi> <mo> , </mo> <mi> μ </mi> </mrow> <mrow> <mo> ( </mo> <mn> 1 </mn> <mo> ) </mo> </mrow> </msubsup> <mo> ( </mo> <mrow> <mi> γ </mi> <mo> , </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[SubsuperscriptBox["S", RowBox[List[TagBox["\[Nu]", SpheroidalS1, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["\[Mu]", SpheroidalS1, Rule[Editable, True], Rule[Selectable, True]]]], RowBox[List["(", "1", ")"]]], "(", RowBox[List[TagBox["\[Gamma]", SpheroidalS1, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["z", SpheroidalS1, Rule[Editable, True], Rule[Selectable, True]]]], ")"]], InterpretTemplate[Function[SpheroidalS1[SlotSequence[1]]]], Rule[Editable, False], Rule[Selectable, False]] </annotation> </semantics> <annotation-xml encoding='MathML-Content'> <apply> <ci> SpheroidalS1 </ci> <ci> ν </ci> <ci> μ </ci> <ci> γ </ci> <ci> z </ci> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List["SpheroidalS1", "[", RowBox[List["\[Nu]", ",", "\[Mu]", ",", "\[Gamma]", ",", "z"]], "]"]]]]

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

2007-05-02