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variants of this functions
EllipticPi




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/08.03.06.0023.01









  


  








Input Form





EllipticPi[n, m] \[Proportional] Pi/(2 Sqrt[1 - m/n] Sqrt[1 - n]) - (1/4) m Pi (Hypergeometric2F1[3/2, 3/2, 2, m] - Hypergeometric2F1[3/2, 5/2, 2, m] (n - 1) + Hypergeometric2F1[3/2, 7/2, 2, m] (n - 1)^2) + O[(n - 1)^3]








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