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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=-9/4, b>=a > For fixed z and a=-9/4, b=7/2





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









  


  








Input Form





Hypergeometric2F1[-(9/4), 7/2, 2, z] == (1/(585 Pi Sqrt[1 + Sqrt[1 - z]] z)) (Sqrt[2] (2 (1 + Sqrt[1 - z]) (-36 + 2134 z - 6391 z^2 + 4389 z^3) EllipticE[1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])] + (36 (1 + (1 - z)^(1/4) + Sqrt[1 - z] + (1 - z)^(3/4)) - 22 (97 + 97 (1 - z)^(1/4) + 97 Sqrt[1 - z] + 43 (1 - z)^(3/4)) z + 77 (83 + 83 (1 - z)^(1/4) + 83 Sqrt[1 - z] + 19 (1 - z)^(3/4)) z^2 - 4389 (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