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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=-15/8, b>=a > For fixed z and a=-15/8, b=-13/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), -(13/8), 3, z] == (256 2^(1/4) (4 (2 + Sqrt[2 - 2 Sqrt[1 - z]]) Sqrt[1 - z] (-130 + 1755 z + 17424 z^2 + 6295 z^3) EllipticE[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] + (520 (1 + Sqrt[1 - z]) - 65 (113 + 108 Sqrt[1 - z]) z + (155139 - 69696 Sqrt[1 - z]) z^2 - 5 (-46537 + 5036 Sqrt[1 - z]) z^3 + 24505 z^4) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/(28224105 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