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EllipticF




Mathematica Notation

Traditional Notation









Elliptic Integrals > EllipticF[z,m] > Representations through more general functions > Through hypergeometric functions of two variables





http://functions.wolfram.com/08.05.26.0001.01









  


  








Input Form





EllipticF[z, m] == (-1)^Round[Re[z]/Pi] Sin[z] HypergeometricPFQ[{{1/2}, {1/2}, {1/2}}, {{3/2}, {}, {}}, m Sin[z]^2, Sin[z]^2] + 2 Round[Re[z]/Pi] EllipticK[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)





2001-10-29