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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=-17/3, b>=a > For fixed z and a=-17/3, b=8/3





http://functions.wolfram.com/07.23.03.4775.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 8/3, -(11/2), z] == (1/(1082565 (-1 + z)^2)) ((1/Sqrt[1 - z]) ((1082565 + 207765 z + 214515 z^2 + 287735 z^3 + 486924 z^4 + 1156272 z^5 + 6456320 z^6 - 19728384 z^7 + 11128832 z^8) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (360855 + 323190 z + 326655 z^2 + 364100 z^3 + 464048 z^4 + 765440 z^5 - 14163968 z^6 + 11128832 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