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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=-13/8, b>=a > For fixed z and a=-13/8, b=1/8





http://functions.wolfram.com/07.23.03.bq1m.01









  


  








Input Form





Hypergeometric2F1[-(13/8), 1/8, 3, z] == -((256 2^(1/4) (2 (2 + Sqrt[2 - 2 Sqrt[1 - z]]) Sqrt[1 - z] (52 - 325 z - 462 z^2 + 63 z^3) EllipticE[ 2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] - (104 (1 + Sqrt[1 - z]) - 65 (11 + 10 Sqrt[1 - z]) z + (5966 - 924 Sqrt[1 - z]) z^2 + 21 (1 + 6 Sqrt[1 - z]) z^3) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/ (831285 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