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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=-11/8, b>=a > For fixed z and a=-11/8, b=-9/8





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









  


  










Input Form





Hypergeometric2F1[-(11/8), -(9/8), 5, z] == (1/(147985558875 Pi z^4)) (32768 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (64 (-192 + 1754 z - 7875 z^2 + 27621 z^3 + 361047 z^4 + 83565 z^5) EllipticE[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] + 3 Sqrt[2] Sqrt[1 + Sqrt[1 - z]] Sqrt[1 - z] (384 - 3229 z + 13431 z^2 + 1459689 z^3 + 393405 z^4) EllipticK[ 1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] - 5 Sqrt[2] Sqrt[1 + Sqrt[1 - z]] (-384 + 3445 z - 15204 z^2 + 956142 z^3 + 515580 z^4 + 31365 z^5) EllipticK[ 1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] - 32 (-192 + 1754 z - 7875 z^2 + 27621 z^3 + 361047 z^4 + 83565 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