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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=-3/8, b>=a > For fixed z and a=-3/8, b=23/8





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









  


  








Input Form





Hypergeometric2F1[-(3/8), 23/8, 1, z] == (1/(35 Pi (-1 + z)^2)) (2^(3/4) (1 + Sqrt[1 - z])^(1/4) (4 (-1 + z) (-19 + 20 z) EllipticE[ 1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] - 2 (-1 + z) (-19 + 20 z) EllipticK[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] + (5 Sqrt[2] Sqrt[1 + Sqrt[1 - z]] (-1 + z) (7 - 16 z + 8 z^2) EllipticK[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])])/z + (Sqrt[2] Sqrt[1 + Sqrt[1 - z]] Sqrt[1 - z] (35 - 99 z + 60 z^2) EllipticK[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])])/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