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





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 11/4, 1, -z] == (1/(231 Pi)) (2 (1 + z)^(1/4) (2 (241 + 940 z + 720 z^2) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (-241 - 10 Sqrt[1 + z] + 720 z^2 (-1 + 2 Sqrt[1 + z]) + 20 z (-47 + 40 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