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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=2/3





http://functions.wolfram.com/07.23.03.5224.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 2/3, -(9/2), -z] == (1/(6561 Sqrt[1 + z])) ((6561 - 891 z + 684 z^2 - 664 z^3 + 800 z^4 - 1664 z^5) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-2187 + 1836 z - 1688 z^2 + 1632 z^3 - 1664 z^4) 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