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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 m==infinity





http://functions.wolfram.com/08.03.06.0047.01









  


  








Input Form





EllipticPi[n, m] \[Proportional] (Log[-m]/(2 Sqrt[-m])) (1 + (1 + 2 n)/(4 m) + (3 (3 + 4 n + 8 n^2))/ (64 m^2) + O[1/m^3]) + ((Sqrt[n] ArcSin[Sqrt[n]])/ (Sqrt[1 - n] Sqrt[-m])) (1 + n/(2 m) + (3 n^2)/(8 m^2) + O[1/m^3]) + (1/(2 Sqrt[-m])) (4 Log[2] + (-1 + 2 Log[2] + n (-1 + 4 Log[2]))/(2 m) - (21 + 26 n + 28 n^2 - 12 (3 + 4 n + 8 n^2) Log[2])/(64 m^2) + O[1/m^3]) /; (Abs[m] -> Infinity)








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