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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=17/3





http://functions.wolfram.com/07.23.03.5461.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 17/3, -(1/2), z] == (1/(3 (-1 + z))) ((1/Sqrt[1 - z]) ((-3 - 154 z + 3770 z^2 - 20032 z^3 + 42016 z^4 - 38400 z^5 + 12800 z^6) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-1 + 1010 z - 9424 z^2 + 27616 z^3 - 32000 z^4 + 12800 z^5) 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