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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=-27/8, b>=a > For fixed z and a=-27/8, b=17/8





http://functions.wolfram.com/07.23.03.bhv8.01









  


  










Input Form





Hypergeometric2F1[-(27/8), 17/8, 7/2, -z] == -((1/(3049501 z^(5/2) (1 + z)^(5/8))) (64 (2 Sqrt[z] (-6270 - 9405 z + 3994 z^2 + 73619 z^3 + 118570 z^4 + 76160 z^5 + 17920 z^6) Cos[(5 ArcTan[Sqrt[z]])/4] - (-10032 - 13167 z + 47025 z^2 + 240815 z^3 + 332335 z^4 + 198800 z^5 + 44800 z^6) Sin[(5 ArcTan[Sqrt[z]])/4])))










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