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EllipticF




Mathematica Notation

Traditional Notation









Elliptic Integrals > EllipticF[z,m] > Series representations > Generalized power series > Expansions at m==1





http://functions.wolfram.com/08.05.06.0067.01









  


  








Input Form





EllipticF[z, m] == Sin[z] Sum[((Sin[z]^(2 k) Pochhammer[1/2, k])/ ((1 + 2 k) k!)) Hypergeometric2F1[1/2 + k, 1 + k, 3/2 + k, Sin[z]^2] (m - 1)^k, {k, 0, Infinity}] /; Abs[Re[z]] <= Pi/2








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