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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=-8/3, b>=a > For fixed z and a=-8/3, b=14/3





http://functions.wolfram.com/07.23.03.6369.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 14/3, -(11/2), -z] == (1/(433026 (1 + z)^(15/2))) ((433026 + 2291976 z + 4353048 z^2 + 2943376 z^3 - 232628 z^4 + 275264 z^5 - 1141448 z^6 - 3542749 z^7 - 3502408 z^8 - 1559376 z^9 - 268736 z^10) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (144342 + 662418 z + 995958 z^2 + 325754 z^3 - 251702 z^4 + 269654 z^5 + 2292331 z^6 + 2823496 z^7 + 1425008 z^8 + 268736 z^9) 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