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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=5/3





http://functions.wolfram.com/07.23.03.5289.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 5/3, 11/2, z] == (1/(79733068415 z^(9/2))) (6561 (-((1/Sqrt[1 - z]) (Sqrt[z] (-145152 + 1128192 z - 3585024 z^2 + 5282816 z^3 - 11102751 z^4 + 17482239 z^5 - 14375200 z^6 + 6998016 z^7 - 1909440 z^8 + 226304 z^9) Cos[ArcSin[Sqrt[z]]/3])) - (435456 - 3255552 z + 9847808 z^2 - 13325312 z^3 - 6031872 z^4 + 12384075 z^5 - 11521512 z^6 + 6128160 z^7 - 1796288 z^8 + 226304 z^9) 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