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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 3 and fixed z > For fixed z and a=-14/3, b>=a > For fixed z and a=-14/3, b=11/3





http://functions.wolfram.com/07.23.03.5360.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 11/3, -(11/2), -z] == (1/19683) (-((1/(1 + z)^(9/2)) ((-19683 - 28431 z + 2970 z^2 - 2758 z^3 + 4001 z^4 - 9171 z^5 + 54808 z^6 + 211120 z^7 + 205504 z^8 + 63232 z^9) Cosh[ArcSinh[Sqrt[z]]/3])) - (1/(1 + z)^4) (Sqrt[z] (6561 + 4860 z - 3906 z^2 + 3796 z^3 - 4335 z^4 + 6552 z^5 + 132080 z^6 + 173888 z^7 + 63232 z^8) Sinh[ArcSinh[Sqrt[z]]/3]))










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