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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=35/8





http://functions.wolfram.com/07.23.03.c6j0.01









  


  








Input Form





Hypergeometric2F1[17/8, 35/8, 3, z] == -((256 2^(1/4) (2 (2 + Sqrt[2 - 2 Sqrt[1 - z]]) Sqrt[1 - z] (44 - 165 z - 54 z^2 + 15 z^3) EllipticE[ 2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] + (-88 (1 + Sqrt[1 - z]) + 55 (7 + 6 Sqrt[1 - z]) z + 54 (-9 + 2 Sqrt[1 - z]) z^2 + (249 - 30 Sqrt[1 - z]) z^3 - 60 z^4) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/ (50787 Pi Sqrt[Sqrt[2] + Sqrt[1 - Sqrt[1 - z]]] (-1 + z)^4 z^2))








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