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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=1/8, b>=a > For fixed z and a=1/8, b=35/8





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









  


  








Input Form





Hypergeometric2F1[1/8, 35/8, 2, z] == -((16 2^(1/4) ((2 + Sqrt[2 - 2 Sqrt[1 - z]]) Sqrt[1 - z] (-209 + 2433 z - 3672 z^2 + 1560 z^3) EllipticE[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] + (209 (1 + Sqrt[1 - z]) + (2374 - 2433 Sqrt[1 - z]) z + 9 (-947 + 408 Sqrt[1 - z]) z^2 - 60 (-151 + 26 Sqrt[1 - z]) z^3 - 3120 z^4) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/ (39501 Pi Sqrt[Sqrt[2] + Sqrt[1 - Sqrt[1 - z]]] (-1 + z)^3 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