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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=25/8, b>=a > For fixed z and a=25/8, b=35/8





http://functions.wolfram.com/07.23.03.c9pd.01









  


  








Input Form





Hypergeometric2F1[25/8, 35/8, 5, z] == (65536 2^(1/4) ((2 + Sqrt[2 - 2 Sqrt[1 - z]]) Sqrt[1 - z] (-1024 + 2400 z - 1539 z^2 + 51 z^3) EllipticE[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] + (1024 (1 + Sqrt[1 - z]) - 160 (19 + 15 Sqrt[1 - z]) z + 9 (326 + 171 Sqrt[1 - z]) z^2 - 51 (16 + Sqrt[1 - z]) z^3 - 102 z^4) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/ (2014551 Pi Sqrt[Sqrt[2] + Sqrt[1 - Sqrt[1 - z]]] (-1 + z)^3 z^4)








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