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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==infinity





http://functions.wolfram.com/08.03.06.0029.01









  


  








Input Form





EllipticPi[n, m] == (-((Pi m)/(4 n))) Sum[((Pochhammer[3/2, k]/(k + 1)!) m^k Hypergeometric2F1[1/2, 3/2 + k, 2 + k, m])/n^k, {k, 0, Infinity}] + (Pi/(2 Sqrt[-n])) Sum[((Pochhammer[1/2, k]/k!) Hypergeometric2F1[1/2, -k, 1/2 - k, m])/n^k, {k, 0, 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