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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=37/8





http://functions.wolfram.com/07.23.03.caf5.01









  


  








Input Form





Hypergeometric2F1[27/8, 37/8, 3/2, z] == (1/(78793 (-1 + z)^6)) (4 (-2 (-9371 - 32121 z - 9405 z^2 + 209 z^3) Cos[(3 ArcSin[Sqrt[z]])/4] - ((-1275 - 36369 z - 78923 z^2 - 19019 z^3 + 418 z^4) Sin[(3 ArcSin[Sqrt[z]])/4])/Sqrt[(-(-1 + z)) 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