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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=-29/8, b>=a > For fixed z and a=-29/8, b=-23/8





http://functions.wolfram.com/07.23.03.bg9g.01









  


  








Input Form





Hypergeometric2F1[-(29/8), -(23/8), 1, z] == (2 2^(1/4) ((2 + Sqrt[2 - 2 Sqrt[1 - z]]) Sqrt[1 - z] (185741 + 984633 z + 568295 z^2 + 18515 z^3) EllipticE[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] + (117744 - 185741 Sqrt[1 - z] + (2280112 - 984633 Sqrt[1 - z]) z + (3804880 - 568295 Sqrt[1 - z]) z^2 - 35 (-23600 + 529 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]]])








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