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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=-8/3, b>=a > For fixed z and a=-8/3, b=14/3





http://functions.wolfram.com/07.23.03.6372.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 14/3, -(7/2), z] == (1/(5346 (-1 + z)^5)) ((1/Sqrt[1 - z]) ((-5346 + 10692 z + 2002 z^2 + 3696 z^3 + 21890 z^4 - 96989 z^5 + 128232 z^6 - 73424 z^7 + 15808 z^8) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-1782 + 2310 z + 2156 z^2 + 2860 z^3 - 55467 z^4 + 97448 z^5 - 65520 z^6 + 15808 z^7) 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