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JacobiCD






Mathematica Notation

Traditional Notation









Elliptic Functions > JacobiCD[z,m] > Specific values > Specialized values > For fixed m > Values at quarter-period points in the fundamental period parallelogram





http://functions.wolfram.com/09.25.03.0006.01









  


  










Input Form





JacobiCD[2 EllipticK[m], m] == -1










Standard Form





Cell[BoxData[RowBox[List[RowBox[List["JacobiCD", "[", RowBox[List[RowBox[List["2", RowBox[List["EllipticK", "[", "m", "]"]]]], ",", "m"]], "]"]], "\[Equal]", RowBox[List["-", "1"]]]]]]










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> cd </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <mrow> <mi> K </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> m </mi> <mo> ) </mo> </mrow> </mrow> <mo> &#10072; </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> JacobiCD </ci> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <ci> EllipticK </ci> <ci> m </ci> </apply> </apply> <ci> m </ci> </apply> <cn type='integer'> -1 </cn> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiCD", "[", RowBox[List[RowBox[List["2", " ", RowBox[List["EllipticK", "[", "m_", "]"]]]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["-", "1"]]]]]]










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





2001-10-29