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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=-17/8, b>=a > For fixed z and a=-17/8, b=29/8





http://functions.wolfram.com/07.23.03.bo3z.01









  


  








Input Form





Hypergeometric2F1[-(17/8), 29/8, 2, z] == (1/(348075 Pi z)) (8 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (4 (-663 + 59554 z - 193424 z^2 + 140448 z^3) EllipticE[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] + 66 Sqrt[2] Sqrt[1 + Sqrt[1 - z]] Sqrt[1 - z] (663 - 2576 z + 2128 z^2) EllipticK[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] - 5 Sqrt[2] Sqrt[1 + Sqrt[1 - z]] (8619 - 30844 z + 23408 z^2) EllipticK[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] - 2 (-663 + 59554 z - 193424 z^2 + 140448 z^3) EllipticK[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - 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