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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=-7/4





http://functions.wolfram.com/07.23.03.ad0p.01









  


  










Input Form





Hypergeometric2F1[-(11/4), -(7/4), 3, -z] == (1/(329175 Pi z^2 Sqrt[1 + Sqrt[1 + z]])) (64 Sqrt[2] (Sqrt[1 + z] (-28 - 483 z + 7143 z^2 - 4777 z^3 + 105 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (-28 - 511 z + 6660 z^2 + 2366 z^3 - 4672 z^4 + 105 z^5) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - Sqrt[1 + z] (-28 - 483 z + 7143 z^2 - 4777 z^3 + 105 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + 4 (7 + 126 z + 876 z^2 - 4118 z^3 + 1365 z^4) 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