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variants of this functions
EllipticPi






Mathematica Notation

Traditional Notation









Elliptic Integrals > EllipticPi[n,m] > Series representations > Generalized power series > Expansions on branch cuts





http://functions.wolfram.com/08.03.06.0016.01









  


  










Input Form





EllipticPi[n, m] \[Proportional] (Floor[Arg[x - n]/(2 Pi)] ((Pi I)/Sqrt[(x - 1) ((x - m)/x)]) (1 + O[n - x]))/E^(I Pi (Floor[(Pi - Arg[-m + n])/(2 Pi)] + Floor[(Pi - Arg[(x - m)/x] - Arg[1 + (n - x)/(x - m)])/(2 Pi)])) + EllipticPi[x, m] (1 + O[n - x]) /; (n -> x) && Element[x, Reals] && x > 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





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