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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=-1/3





http://functions.wolfram.com/07.23.03.5213.01









  


  










Input Form





Hypergeometric2F1[-(14/3), -(1/3), 5/2, z] == (1/(7082725 z^(3/2))) (27 ((1/Sqrt[1 - z]) (Sqrt[z] (2048 + 215295 z - 165871 z^2 - 70968 z^3 + 24648 z^4 - 5792 z^5 + 640 z^6) Cos[ArcSin[Sqrt[z]]/3]) + (-6144 + 139264 z + 677973 z^2 - 60616 z^3 + 21992 z^4 - 5472 z^5 + 640 z^6) 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