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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=8/3





http://functions.wolfram.com/07.23.03.5319.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 8/3, -(5/2), z] == (1/405) (((405 + 1791 z + 7868 z^2 + 69680 z^3 - 322816 z^4 + 252928 z^5) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z] + Sqrt[z] (135 + 692 z + 3120 z^2 - 196352 z^3 + 252928 z^4) Sin[ArcSin[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