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variants of this functions
EllipticThetaPrime




Mathematica Notation

Traditional Notation









Elliptic Functions > EllipticThetaPrime[1,z,q] > Representations through equivalent functions > With related functions > Involving theta functions > Involving theta1(z,q)





http://functions.wolfram.com/09.05.27.0008.01









  


  








Input Form





EllipticThetaPrime[1, z, q] == (q (2 I EllipticTheta[1, z + I Log[q], q] - EllipticThetaPrime[1, z + I Log[q], q]))/E^(2 I z)








Standard Form





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








MathML Form







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Rule Form





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





2007-05-02