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variants of this functions
EllipticPi




Mathematica Notation

Traditional Notation









Elliptic Integrals > EllipticPi[n,m] > General characteristics > Branch points > With respect to m





http://functions.wolfram.com/08.03.04.0007.01









  


  








Input Form





RamificationIndex[EllipticPi[n, m], m, ComplexInfinity] == 2








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["RamificationIndex", "[", RowBox[List[RowBox[List["EllipticPi", "[", RowBox[List["n", ",", "m"]], "]"]], ",", "m", ",", "ComplexInfinity"]], "]"]], "\[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> &#8475; </mi> <mi> m </mi> </msub> <mo> ( </mo> <mrow> <mrow> <mi> &#928; </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> n </mi> <mo> &#10072; </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> <mo> , </mo> <mover> <mi> &#8734; </mi> <mo> ~ </mo> </mover> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mn> 2 </mn> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <apply> <ci> Subscript </ci> <ci> &#8475; </ci> <ci> m </ci> </apply> <apply> <ci> EllipticPi </ci> <ci> n </ci> <ci> m </ci> </apply> <apply> <ci> OverTilde </ci> <infinity /> </apply> </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["EllipticPi", "[", RowBox[List["n_", ",", "m_"]], "]"]], ",", "m_", ",", "ComplexInfinity"]], "]"]], "]"]], "\[RuleDelayed]", "2"]]]]


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





2001-10-29