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JacobiSC




Mathematica Notation

Traditional Notation









Elliptic Functions > JacobiSC[z,m] > General characteristics > Symmetries and periodicities > Periodicity





http://functions.wolfram.com/09.34.04.0004.01









  


  








Input Form





JacobiSC[z + 2 EllipticK[m], m] == JacobiSC[z, m]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["JacobiSC", "[", RowBox[List[RowBox[List["z", "+", RowBox[List["2", RowBox[List["EllipticK", "[", "m", "]"]]]]]], ",", "m"]], "]"]], "\[Equal]", RowBox[List["JacobiSC", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]








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










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiSC", "[", RowBox[List[RowBox[List["z_", "+", RowBox[List["2", " ", RowBox[List["EllipticK", "[", "m_", "]"]]]]]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["JacobiSC", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]


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





2001-10-29