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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=11/3





http://functions.wolfram.com/07.23.03.5359.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 11/3, -(11/2), z] == (1/(19683 (-1 + z)^4)) ((1/Sqrt[1 - z]) ((19683 - 28431 z - 2970 z^2 - 2758 z^3 - 4001 z^4 - 9171 z^5 - 54808 z^6 + 211120 z^7 - 205504 z^8 + 63232 z^9) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (6561 - 4860 z - 3906 z^2 - 3796 z^3 - 4335 z^4 - 6552 z^5 + 132080 z^6 - 173888 z^7 + 63232 z^8) 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