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Mathematica Notation

Traditional Notation

Elementary Functions > Csch[z] > Representations through more general functions > Through other functions > Involving Jacobi functions




Input Form

Csch[z] == I/JacobiSD[I z, 0]

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["Csch", "[", "z", "]"]], "\[Equal]", FractionBox["\[ImaginaryI]", RowBox[List["JacobiSD", "[", RowBox[List[RowBox[List["\[ImaginaryI]", " ", "z"]], ",", "0"]], "]"]]]]]]]

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> csch </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mfrac> <mi> &#8520; </mi> <mrow> <mi> sd </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mrow> <mi> &#8520; </mi> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> &#10072; </mo> <mn> 0 </mn> </mrow> <mo> ) </mo> </mrow> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <csch /> <ci> z </ci> </apply> <apply> <times /> <imaginaryi /> <apply> <power /> <apply> <ci> JacobiSD </ci> <apply> <times /> <imaginaryi /> <ci> z </ci> </apply> <cn type='integer'> 0 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Csch", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", FractionBox["\[ImaginaryI]", RowBox[List["JacobiSD", "[", RowBox[List[RowBox[List["\[ImaginaryI]", " ", "z"]], ",", "0"]], "]"]]]]]]]

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