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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=-17/8, b>=a > For fixed z and a=-17/8, b=21/8





http://functions.wolfram.com/07.23.03.bnz8.01









  


  








Input Form





Hypergeometric2F1[-(17/8), 21/8, 1, z] == (1/(9945 Pi z)) (2 2^(1/4) (1 + Sqrt[1 - z])^(1/4) (2 Sqrt[2] z (14389 - 65604 z + 55440 z^2) EllipticE[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] + (9945 (-1 + Sqrt[1 - z]) Sqrt[1 + Sqrt[1 - z]] + (-14389 Sqrt[2] + 51920 Sqrt[1 + Sqrt[1 - z]] - 56364 Sqrt[1 + Sqrt[1 - z]] Sqrt[1 - z]) z + 924 (71 Sqrt[2] - 50 Sqrt[1 + Sqrt[1 - z]] + 60 Sqrt[1 + Sqrt[1 - z]] Sqrt[1 - z]) z^2 - 55440 Sqrt[2] z^3) EllipticK[1/2 - 1/(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