Inverse of the Jacobi elliptic function nd: General characteristics (formula 09.44.04.0011)

InverseJacobiND

$Mathematica Notation$

Elliptic Functions

InverseJacobiND[z,m]

General characteristics

Branch points

With respect to z

http://functions.wolfram.com/09.44.04.0011.01

Input Form

RamificationIndex[InverseJacobiND[z, m], z, -1] == 2

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["RamificationIndex", "[", RowBox[List[RowBox[List["InverseJacobiND", "[", RowBox[List["z", ",", "m"]], "]"]], ",", "z", ",", RowBox[List["-", "1"]]]], "]"]], "\[Equal]", "2"]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msub> <mi> ℛ </mi> <mi> z </mi> </msub> <mo> ( </mo> <mrow> <mrow> <msup> <mi> nd </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mrow> <mi> z </mi> <mo> ❘ </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> <mo> , </mo> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mn> 2 </mn> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <apply> <ci> Subscript </ci> <ci> ℛ </ci> <ci> z </ci> </apply> <apply> <ci> InverseJacobiND </ci> <ci> z </ci> <ci> m </ci> </apply> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 2 </cn> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["RamificationIndex", "[", RowBox[List[RowBox[List["InverseJacobiND", "[", RowBox[List["z_", ",", "m_"]], "]"]], ",", "z_", ",", RowBox[List["-", "1"]]]], "]"]], "]"]], "\[RuleDelayed]", "2"]]]]

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

2001-10-29