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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=-3/4





http://functions.wolfram.com/07.23.03.ad39.01









  


  








Input Form





Hypergeometric2F1[-(11/4), -(3/4), 2, -z] == (1/(1155 Pi z Sqrt[1 + Sqrt[1 + z]])) (8 Sqrt[2] ((-Sqrt[1 + z]) (11 - 194 z + 39 z^2 + 4 z^3) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (11 - 183 z - 155 z^2 + 43 z^3 + 4 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (11 + 103 z - 387 z^2 + z^3) EllipticK[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])] + Sqrt[1 + z] (11 - 194 z + 39 z^2 + 4 z^3) EllipticK[(-1 + Sqrt[1 + z])/(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