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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=-5/2, b>=a > For fixed z and a=-5/2, b=11/4





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









  


  








Input Form





Hypergeometric2F1[-(5/2), 11/4, 1, z] == (1/(70 Sqrt[2] Pi Sqrt[1 + Sqrt[1 - z]])) (2 (1 + Sqrt[1 - z]) (348 - 1404 z + 1105 z^2) EllipticE[1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])] + (-4 (87 + 87 (1 - z)^(1/4) + 87 Sqrt[1 - z] + 17 (1 - z)^(3/4)) - 52 (-27 - 27 (1 - z)^(1/4) - 27 Sqrt[1 - z] + 10 (1 - z)^(3/4)) z + 1105 (-1 - (1 - z)^(1/4) - Sqrt[1 - z] + (1 - z)^(3/4)) z^2) EllipticK[1/2 - (1 - z)^(1/4)/(1 + 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