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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=3/4, b>=a > For fixed z and a=3/4, b=21/4





http://functions.wolfram.com/07.23.03.aj8y.01









  


  








Input Form





Hypergeometric2F1[3/4, 21/4, 2, -z] == -((1/(9945 Pi z (1 + z)^(15/4))) (8 (-2 (585 + 5206 z + 8977 z^2 + 6420 z^3 + 1680 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (1680 z^4 + 585 (1 + Sqrt[1 + z]) + 60 z^3 (107 + 14 Sqrt[1 + z]) + z (5206 + 2281 Sqrt[1 + z]) + z^2 (8977 + 2440 Sqrt[1 + z])) EllipticK[1/2 - 1/(2 Sqrt[1 + z])])))








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