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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=17/4, b>=a > For fixed z and a=17/4, b=21/4





http://functions.wolfram.com/07.23.03.an70.01









  


  








Input Form





Hypergeometric2F1[17/4, 21/4, 4, -z] == -((256 Sqrt[2] ((32 + 219 z + 795 z^2 - 5323 z^3 + 117 z^4) (1 + Sqrt[1 + z]) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (-117 z^4 - 32 (1 + Sqrt[1 + z]) - z (219 + 211 Sqrt[1 + z]) - z^2 (795 + 746 Sqrt[1 + z]) + z^3 (5323 + 2457 Sqrt[1 + z])) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (387855 Pi z^3 (1 + z)^(11/2) Sqrt[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