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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=8/3





http://functions.wolfram.com/07.23.03.5818.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 8/3, -(9/2), -z] == (1/45927) ((1/(1 + z)^(7/2)) ((45927 + 63504 z - 6390 z^2 + 6036 z^3 - 9961 z^4 + 42420 z^5 + 100464 z^6 + 46592 z^7) Cosh[ArcSinh[Sqrt[z]]/3]) + (1/(1 + z)^3) (Sqrt[z] (-15309 - 10395 z + 8269 z^2 - 8057 z^3 + 9660 z^4 + 77168 z^5 + 46592 z^6) 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