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variants of this functions
EllipticPi




Mathematica Notation

Traditional Notation









Elliptic Integrals > EllipticPi[n,z,m] > Integral representations > On the real axis > Of the direct function





http://functions.wolfram.com/08.06.07.0004.01









  


  








Input Form





EllipticPi[n, z, m] == (-1)^Round[Re[z]/Pi] Integrate[Cos[t]/((1 - n Sin[t]^2) Sqrt[1 - m Sin[t]^2] Sqrt[Cos[t]^2]), {t, 0, z}] + 2 Round[Re[z]/Pi] EllipticPi[n, m]








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