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variants of this functions
EllipticPi






Mathematica Notation

Traditional Notation









Elliptic Integrals > EllipticPi[n,z,m] > Series representations > Generalized power series > Expansions at z==-csc-1(m1/2)+Pi u/;uZ





http://functions.wolfram.com/08.06.06.0075.01









  


  










Input Form





EllipticPi[n, z, m] \[Proportional] (-(1/Sqrt[m])) EllipticPi[n/m, 1/m] + 2 u EllipticPi[n, m] - ((m Sqrt[2])/((n - m) Sqrt[-1 + m])) Sqrt[Sqrt[-1 + m] (z - Subscript[z, 0])] (1 + O[z - Subscript[z, 0]]) /; (z -> Subscript[z, 0]) && Subscript[z, 0] == -ArcCsc[Sqrt[m]] + Pi u && Element[u, Integers]










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