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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=-10/3





http://functions.wolfram.com/07.23.03.5132.01









  


  










Input Form





Hypergeometric2F1[-(14/3), -(10/3), -(5/2), -z] == (1/81) (((81 + 549 z + 1708 z^2 + 4152 z^3 + 2784 z^4 - 128 z^5) Cosh[ArcSinh[Sqrt[z]]/3])/Sqrt[1 + z] - Sqrt[z] (27 + 164 z + 456 z^2 + 7008 z^3 + 128 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