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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 8 and fixed z and a<0 > For fixed z and a=-21/8, b>=a > For fixed z and a=-21/8, b=-15/8





http://functions.wolfram.com/07.23.03.bl6s.01









  


  








Input Form





Hypergeometric2F1[-(21/8), -(15/8), 2, z] == (16 2^(1/4) ((2 + Sqrt[2 - 2 Sqrt[1 - z]]) Sqrt[1 - z] (455 + 15767 z + 16765 z^2 + 805 z^3) EllipticE[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] - (455 (1 + Sqrt[1 - z]) + (-22453 + 15767 Sqrt[1 - z]) z + 5 (-16943 + 3353 Sqrt[1 - z]) z^2 + 35 (-813 + 23 Sqrt[1 - z]) z^3) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/ (303485 Pi Sqrt[Sqrt[2] + Sqrt[1 - Sqrt[1 - z]]] 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