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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=-23/8, b>=a > For fixed z and a=-23/8, b=-5/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), -(5/8), 1, z] == (2 2^(1/4) (-2 (2 + Sqrt[2 - 2 Sqrt[1 - z]]) Sqrt[1 - z] (-547 - 150 z + 25 z^2) EllipticE[ 2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] + (1321 - 1094 Sqrt[1 - z] + (4610 - 300 Sqrt[1 - z]) z + (-655 + 50 Sqrt[1 - z]) z^2 + 100 z^3) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/ (2415 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