JacobiSD[-z, m] == -JacobiSD[z, m]

Cell[BoxData[RowBox[List[RowBox[List["JacobiSD", "[", RowBox[List[RowBox[List["-", "z"]], ",", "m"]], "]"]], "\[Equal]", RowBox[List["-", RowBox[List["JacobiSD", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> sd </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mrow> <mo> - </mo> <mi> z </mi> </mrow> <mo> &#10072; </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mo> - </mo> <mrow> <mi> sd </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> z </mi> <mo> &#10072; </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> JacobiSD </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <ci> m </ci> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ci> JacobiSD </ci> <ci> z </ci> <ci> m </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiSD", "[", RowBox[List[RowBox[List["-", "z_"]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["-", RowBox[List["JacobiSD", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]

2001-10-29