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variants of this functions
EllipticE




Mathematica Notation

Traditional Notation









Elliptic Integrals > EllipticE[z,m] > Series representations > Other series representations > Expansions E(sin-1(z)|m) at z==0





http://functions.wolfram.com/08.04.06.0080.01









  


  








Input Form





EllipticE[ArcSin[z], m] == z Sum[((Pochhammer[1/2, k + j] Pochhammer[1/2, k] Pochhammer[-(1/2), j] m^j)/(Pochhammer[3/2, k + j] k! j!)) z^(2 k + 2 j), {k, 0, Infinity}, {j, 0, Infinity}] /; Abs[z] < 1








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