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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=35/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 35/8, 1, z] == (2 2^(1/4) (-136 (2 + Sqrt[2 - 2 Sqrt[1 - z]]) Sqrt[1 - z] (-827501 + 9175530 z - 23095800 z^2 + 15834000 z^3) EllipticE[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] + (28280929 - 112540136 Sqrt[1 - z] + 8840 (-121691 + 141162 Sqrt[1 - z]) z - 3341520 (-1623 + 940 Sqrt[1 - z]) z^2 + 37128000 (-233 + 58 Sqrt[1 - z]) z^3 + 4306848000 z^4) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/ (140821065 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