EllipticExpPrime[Conjugate[z], {Conjugate[a], Conjugate[b]}] == Conjugate[EllipticExpPrime[z, {a, b}]]

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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msubsup> <mi> eexp </mi> <mi> z </mi> <mo> &#8242; </mo> </msubsup> <mo> ( </mo> <mrow> <mrow> <mover> <mi> z </mi> <mo> _ </mo> </mover> <mo> ; </mo> <mover> <mi> a </mi> <mo> _ </mo> </mover> </mrow> <mo> , </mo> <mover> <mi> b </mi> <mo> _ </mo> </mover> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mover> <mrow> <msubsup> <mi> eexp </mi> <mi> z </mi> <mo> &#8242; </mo> </msubsup> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> ; </mo> <mi> a </mi> </mrow> <mo> , </mo> <mi> b </mi> </mrow> <mo> ) </mo> </mrow> <mo> _ </mo> </mover> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <apply> <partialdiff /> <list> <cn type='integer'> 1 </cn> </list> <apply> <ci> Subscript </ci> <ci> eexp </ci> <ci> z </ci> </apply> </apply> <apply> <ci> CompoundExpression </ci> <apply> <ci> OverBar </ci> <ci> z </ci> </apply> <apply> <ci> OverBar </ci> <ci> a </ci> </apply> </apply> <apply> <ci> OverBar </ci> <ci> b </ci> </apply> </apply> <apply> <ci> OverBar </ci> <apply> <apply> <partialdiff /> <list> <cn type='integer'> 1 </cn> </list> <apply> <ci> Subscript </ci> <ci> eexp </ci> <ci> z </ci> </apply> </apply> <apply> <ci> CompoundExpression </ci> <ci> z </ci> <ci> a </ci> </apply> <ci> b </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EllipticExpPrime", "[", RowBox[List[RowBox[List["Conjugate", "[", "z_", "]"]], ",", RowBox[List["{", RowBox[List[RowBox[List["Conjugate", "[", "a_", "]"]], ",", RowBox[List["Conjugate", "[", "b_", "]"]]]], "}"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Conjugate", "[", RowBox[List["EllipticExpPrime", "[", RowBox[List["z", ",", RowBox[List["{", RowBox[List["a", ",", "b"]], "}"]]]], "]"]], "]"]]]]]]

2001-10-29