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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=33/8, b>=a > For fixed z and a=33/8, b=35/8





http://functions.wolfram.com/07.23.03.cc0f.01









  


  








Input Form





Hypergeometric2F1[33/8, 35/8, 1, z] == (2 2^(1/4) (112 (2 + Sqrt[2 - 2 Sqrt[1 - z]]) Sqrt[1 - z] (36913 + 316101 z + 334179 z^2 + 44967 z^3) EllipticE[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] - (1735981 + 4134256 Sqrt[1 - z] + 4 (2209163 + 8850828 Sqrt[1 - z]) z + 54 (-54123 + 693112 Sqrt[1 - z]) z^2 + 12 (-592343 + 419692 Sqrt[1 - z]) z^3 - 541875 z^4) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/ (2398275 Pi Sqrt[Sqrt[2] + Sqrt[1 - Sqrt[1 - z]]] (-1 + z)^8)








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