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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=47/8





http://functions.wolfram.com/07.23.03.can7.01









  


  








Input Form





Hypergeometric2F1[27/8, 47/8, -(5/2), -z] == (1/(320 (1 + z)^(91/8))) ((320 + 6088 z + 71525 z^2 + 1196877 z^3 - 6799518 z^4 + 5386722 z^5 - 571943 z^6 - 19975 z^7 - 752 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (240 + 4531 z + 52991 z^2 - 3884606 z^3 + 7504750 z^4 - 2417689 z^5 + 14899 z^6 + 564 z^7) Sin[(3 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