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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=45/8





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









  


  










Input Form





Hypergeometric2F1[-(17/8), 45/8, 4, z] == (1/(168441498225 Pi z^3)) (1024 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (4 (-84864 - 574821 z - 4296240 z^2 + 218042176 z^3 - 555612288 z^4 + 348872832 z^5) EllipticE[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] + 24 Sqrt[2] Sqrt[1 + Sqrt[1 - z]] Sqrt[1 - z] (1326 + 9945 z + 6928350 z^2 - 20727784 z^3 + 14536368 z^4) EllipticK[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] - 5 Sqrt[2] Sqrt[1 + Sqrt[1 - z]] (-10608 - 73593 z + 32349096 z^2 - 89141008 z^3 + 58145472 z^4) EllipticK[ 1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] - 2 (-84864 - 574821 z - 4296240 z^2 + 218042176 z^3 - 555612288 z^4 + 348872832 z^5) 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