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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=7/4, b>=a > For fixed z and a=7/4, b=7/2





http://functions.wolfram.com/07.23.03.akk3.01









  


  










Input Form





Hypergeometric2F1[7/4, 7/2, 6, z] == (1/(1755 Pi Sqrt[1 + Sqrt[1 - z]] z^5)) (2048 Sqrt[2] (2 (1 + Sqrt[1 - z]) (512 - 560 z + 69 z^2 + 9 z^3) EllipticE[1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])] + (-512 (1 + (1 - z)^(1/4) + Sqrt[1 - z] + (1 - z)^(3/4)) + 16 (35 + 35 (1 - z)^(1/4) + 35 Sqrt[1 - z] + 19 (1 - z)^(3/4)) z + 3 (-23 - 23 (1 - z)^(1/4) - 23 Sqrt[1 - z] + (1 - z)^(3/4)) z^2 - 9 (1 + (1 - z)^(1/4) + Sqrt[1 - z]) z^3) 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