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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=-31/8, b>=a > For fixed z and a=-31/8, b=19/8





http://functions.wolfram.com/07.23.03.bfb1.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 19/8, 1, z] == (2 2^(1/4) (-2 (2 + Sqrt[2 - 2 Sqrt[1 - z]]) Sqrt[1 - z] (-97381 + 559871 z - 834496 z^2 + 371280 z^3) EllipticE[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] + (79743 - 194762 Sqrt[1 - z] + (-1297703 + 1119742 Sqrt[1 - z]) z - 104 (-37437 + 16048 Sqrt[1 - z]) z^2 + 17680 (-235 + 42 Sqrt[1 - z]) z^3 + 1485120 z^4) EllipticK[ 2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/ (274505 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