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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=-9/8, b>=a > For fixed z and a=-9/8, b=5/8





http://functions.wolfram.com/07.23.03.bsb1.01









  


  










Input Form





Hypergeometric2F1[-(9/8), 5/8, 2, z] == -((1/(153 Pi z)) (16 2^(1/4) (1 + Sqrt[1 - z])^(1/4) (2 Sqrt[2] (-3 - 19 z + 6 z^2) EllipticE[ 1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] + (3 (Sqrt[2] + 7 Sqrt[1 + Sqrt[1 - z]] - 6 Sqrt[1 + Sqrt[1 - z]] Sqrt[1 - z]) + (19 Sqrt[2] - 5 Sqrt[1 + Sqrt[1 - z]] + 6 Sqrt[1 + Sqrt[1 - z]] Sqrt[1 - z]) z - 6 Sqrt[2] z^2) 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