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EllipticF






Mathematica Notation

Traditional Notation









Elliptic Integrals > EllipticF[z,m] > Series representations > Generalized power series > Expansions at m==0





http://functions.wolfram.com/08.05.06.0005.02









  


  










Input Form





EllipticF[z, m] == Sum[((Pochhammer[1/2, k] Sin[z]^(2 k + 1))/((1 + 2 k) k!)) Hypergeometric2F1[1/2, 1/2 + k, k + 3/2, Sin[z]^2] m^k, {k, 0, Infinity}] + 2 Round[Re[z]/Pi] EllipticK[m] /; Abs[m] < 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)





2001-10-29





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