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JacobiSD






Mathematica Notation

Traditional Notation









Elliptic Functions > JacobiSD[z,m] > Series representations > Generalized power series > Expansions at z==(2 r+1) K(m)+(2s+1)i K(1-m)





http://functions.wolfram.com/09.35.06.0008.01









  


  










Input Form





JacobiSD[z, m] \[Proportional] ((I (-1)^(r + s - 1))/(Sqrt[m] Sqrt[1 - m])) (1/(z - Subscript[z, 0]) + (1/6) (1 - 2 m) (z - Subscript[z, 0]) + (1/360) (7 + 8 m - 8 m^2) (z - Subscript[z, 0])^3 + \[Ellipsis]) /; (z -> Subscript[z, 0]) && Subscript[z, 0] == (2 r + 1) EllipticK[m] + (2 s + 1) I EllipticK[1 - m] && Element[r, Integers] && Element[s, Integers]










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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