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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=17/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 17/8, 1, z] == (2 2^(1/4) ((2 + Sqrt[2 - 2 Sqrt[1 - z]]) Sqrt[1 - z] (5879 - 24332 z + 18480 z^2) EllipticE[ 2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] - (1784 + 5879 Sqrt[1 - z] - 44 (113 + 553 Sqrt[1 - z]) z + 3080 (1 + 6 Sqrt[1 - z]) z^2) EllipticK[ 2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/ (4095 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