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 EllipticTheta

 http://functions.wolfram.com/09.02.04.0009.01

 Input Form

 EllipticTheta[2, z + I Log[q], q] == (E^(2 I z) EllipticTheta[2, z, q])/q

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["EllipticTheta", "[", RowBox[List["2", ",", RowBox[List["z", "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Log", "[", "q", "]"]]]]]], ",", "q"]], "]"]], "\[Equal]", RowBox[List[SuperscriptBox["q", RowBox[List["-", "1"]]], " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", "\[ImaginaryI]", " ", "z"]]], " ", RowBox[List["EllipticTheta", "[", RowBox[List["2", ",", "z", ",", "q"]], "]"]]]]]]]]

 MathML Form

 ϑ 2 ( z + log ( q ) , q ) 2 z q ϑ 2 ( z , q ) EllipticTheta 2 z q q 2 z q -1 EllipticTheta 2 z q [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EllipticTheta", "[", RowBox[List["2", ",", RowBox[List["z_", "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Log", "[", "q_", "]"]]]]]], ",", "q_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", "z"]]], " ", RowBox[List["EllipticTheta", "[", RowBox[List["2", ",", "z", ",", "q"]], "]"]]]], "q"]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29

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