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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=-7/8, b>=a > For fixed z and a=-7/8, b=35/8





http://functions.wolfram.com/07.23.03.btr0.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 35/8, 3, z] == (256 2^(1/4) ((2 + Sqrt[2 - 2 Sqrt[1 - z]]) Sqrt[1 - z] (616 + 3927 z - 51948 z^2 + 53040 z^3) EllipticE[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] - (616 (1 + Sqrt[1 - z]) + 77 (46 + 51 Sqrt[1 - z]) z - 54 (-963 + 962 Sqrt[1 - z]) z^2 + 3120 (-52 + 17 Sqrt[1 - z]) z^3 + 106080 z^4) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/(13627845 Pi Sqrt[Sqrt[2] + Sqrt[1 - Sqrt[1 - z]]] (-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