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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=-15/8, b>=a > For fixed z and a=-15/8, b=35/8





http://functions.wolfram.com/07.23.03.bp8o.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 35/8, 3, z] == -((256 2^(1/4) (2 (2 + Sqrt[2 - 2 Sqrt[1 - z]]) Sqrt[1 - z] (1540 + 15015 z - 286416 z^2 + 371280 z^3) EllipticE[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] - (3080 (1 + Sqrt[1 - z]) + 385 (73 + 78 Sqrt[1 - z]) z - 2808 (-181 + 204 Sqrt[1 - z]) z^2 + 53040 (-37 + 14 Sqrt[1 - z]) z^3 + 1485120 z^4) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/(140821065 Pi Sqrt[Sqrt[2] + Sqrt[1 - Sqrt[1 - z]]] 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