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variants of this functions
EllipticTheta






Mathematica Notation

Traditional Notation









Elliptic Functions > EllipticTheta[2,z,q] > Series representations > q-series > Expansions on branch cuts





http://functions.wolfram.com/09.02.06.0018.01









  


  










Input Form





EllipticTheta[2, z, q] \[Proportional] Exp[((Pi I)/2) Floor[Arg[q - x]/(2 Pi)]] (EllipticTheta[2, z, x] + Derivative[0, 0, 1][EllipticTheta][2, z, x] (q - x) + (1/2) Derivative[0, 0, 2][EllipticTheta][2, z, x] (q - x)^2 + (1/6) Derivative[0, 0, 3][EllipticTheta][2, z, x] (q - x)^3 + O[(q - x)^4]) /; Element[x, Reals] && -1 < x < 0










Standard Form





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MathML Form







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Rule Form





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





2007-05-02





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