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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/07.23.03.5362.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 11/3, -(9/2), -z] == (1/(32805 (1 + z)^(7/2))) ((-(-32805 + 8100 z - 10710 z^2 + 19964 z^3 - 55893 z^4 + 395928 z^5 + 1799824 z^6 + 2007616 z^7 + 695552 z^8)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (10935 - 10395 z + 11725 z^2 - 16113 z^3 + 31512 z^4 + 1056848 z^5 + 1659840 z^6 + 695552 z^7) 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