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http://functions.wolfram.com/09.06.04.0016.01
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AnalyticityBoundary[EllipticThetaPrime[2, q, z], z] ==
{Exp[I Interval[{-Pi, Pi}]]}
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Cell[BoxData[RowBox[List[RowBox[List["AnalyticityBoundary", "[", RowBox[List[RowBox[List["EllipticThetaPrime", "[", RowBox[List["2", ",", "q", ",", "z"]], "]"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List["{", RowBox[List["Exp", "[", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Interval", "[", RowBox[List["{", RowBox[List[RowBox[List["-", "\[Pi]"]], ",", " ", "\[Pi]"]], "}"]], "]"]]]], "]"]], "}"]]]]]]
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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> 𝒜ℬ </mi> <mi> z </mi> </msub> <mo> ( </mo> <mrow> <msubsup> <mi> ϑ </mi> <mn> 2 </mn> <mo> ′ </mo> </msubsup> <mo> ( </mo> <mrow> <mi> z </mi> <mo> , </mo> <mi> q </mi> </mrow> <mo> ) </mo> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <mo> { </mo> <msup> <mi> ⅇ </mi> <mrow> <mi> ⅈ </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mo> - </mo> <mi> π </mi> </mrow> <mo> , </mo> <mi> π </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </msup> <mo> } </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <mrow> <mrow> <msub> <mi> 𝒜ℬ </mi> <mi> z </mi> </msub> <mo> ( </mo> <mrow> <msubsup> <mi> ϑ </mi> <mn> 2 </mn> <mo> ′ </mo> </msubsup> <mo> ( </mo> <mrow> <mi> z </mi> <mo> , </mo> <mi> q </mi> </mrow> <mo> ) </mo> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <mo> { </mo> <msup> <mi> ⅇ </mi> <mrow> <mi> ⅈ </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mo> - </mo> <mi> π </mi> </mrow> <mo> , </mo> <mi> π </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </msup> <mo> } </mo> </mrow> </mrow> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["AnalyticityBoundary", "[", RowBox[List[RowBox[List["EllipticThetaPrime", "[", RowBox[List["2", ",", "q_", ",", "z_"]], "]"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["{", SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Interval", "[", RowBox[List["{", RowBox[List[RowBox[List["-", "\[Pi]"]], ",", "\[Pi]"]], "}"]], "]"]]]]], "}"]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
