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





http://functions.wolfram.com/07.23.03.5908.01









  


  










Input Form





Hypergeometric2F1[-(11/3), 14/3, -(9/2), -z] == (1/6561) ((1/(1 + z)^(11/2)) ((6561 + 11502 z - 1665 z^2 + 2156 z^3 - 5137 z^4 + 34782 z^5 + 169624 z^6 + 238160 z^7 + 142272 z^8 + 31616 z^9) Cosh[ArcSinh[Sqrt[z]]/3]) + (1/(1 + z)^5) (Sqrt[z] (-2187 - 2295 z + 2002 z^2 - 2222 z^3 + 3465 z^4 + 94016 z^5 + 178880 z^6 + 126464 z^7 + 31616 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