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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=-31/8, b>=a > For fixed z and a=-31/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 37/8, 11/2, -z] == (1024 (Sqrt[z] (1597120 - 827080 z + 1077343 z^2 - 2730790 z^3 + 687815171 z^4 + 2375979360 z^5 + 3131546880 z^6 + 1864372224 z^7 + 421724160 z^8) Cos[ArcTan[Sqrt[z]]/4] - (6388480 - 1311920 z + 2751467 z^2 - 9033710 z^3 + 79011095 z^4 + 419992176 z^5 + 656177280 z^6 + 433145856 z^7 + 105431040 z^8) Sin[ArcTan[Sqrt[z]]/4]))/(683050922697 z^(9/2) (1 + z)^(1/8))








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