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http://functions.wolfram.com/09.39.04.0009.01
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BranchPoints[InverseJacobiCS[z, m], z] == {I, -I, Sqrt[m - 1], -Sqrt[m - 1],
ComplexInfinity}
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Cell[BoxData[RowBox[List[RowBox[List["BranchPoints", "[", RowBox[List[RowBox[List["InverseJacobiCS", "[", RowBox[List["z", ",", "m"]], "]"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List["{", RowBox[List["\[ImaginaryI]", ",", RowBox[List["-", "\[ImaginaryI]"]], ",", SqrtBox[RowBox[List["m", "-", "1"]]], ",", RowBox[List["-", SqrtBox[RowBox[List["m", "-", "1"]]]]], ",", " ", "ComplexInfinity"]], "}"]]]]]]
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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> <msub> <mi> ℬ𝒫 </mi> <mi> z </mi> </msub> <mo> ( </mo> <mrow> <msup> <mi> cs </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mrow> <mi> z </mi> <mo> ❘ </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <mo> { </mo> <mrow> <mi> ⅈ </mi> <mo> , </mo> <mrow> <mo> - </mo> <mi> ⅈ </mi> </mrow> <mo> , </mo> <msqrt> <mrow> <mi> m </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msqrt> <mo> , </mo> <mrow> <mo> - </mo> <msqrt> <mrow> <mi> m </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msqrt> </mrow> <mo> , </mo> <mover> <mi> ∞ </mi> <mo> ~ </mo> </mover> </mrow> <mo> } </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <apply> <ci> Subscript </ci> <ci> ℬ𝒫 </ci> <ci> z </ci> </apply> <apply> <ci> InverseJacobiCS </ci> <ci> z </ci> <ci> m </ci> </apply> </apply> <list> <imaginaryi /> <apply> <times /> <cn type='integer'> -1 </cn> <imaginaryi /> </apply> <apply> <power /> <apply> <plus /> <ci> m </ci> <cn type='integer'> -1 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <apply> <plus /> <ci> m </ci> <cn type='integer'> -1 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <apply> <ci> OverTilde </ci> <infinity /> </apply> </list> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BranchPoints", "[", RowBox[List[RowBox[List["InverseJacobiCS", "[", RowBox[List["z_", ",", "m_"]], "]"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["{", RowBox[List["\[ImaginaryI]", ",", RowBox[List["-", "\[ImaginaryI]"]], ",", SqrtBox[RowBox[List["m", "-", "1"]]], ",", RowBox[List["-", SqrtBox[RowBox[List["m", "-", "1"]]]]], ",", "ComplexInfinity"]], "}"]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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