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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=1/3, b>=a > For fixed z and a=1/3, b=17/3





http://functions.wolfram.com/07.23.03.7595.01









  


  








Input Form





Hypergeometric2F1[1/3, 17/3, -(1/2), z] == (1/(33792 (-1 + z)^6)) ((1/Sqrt[1 - z]) ((33792 - 349184 z + 230315 z^2 - 237892 z^3 + 152696 z^4 - 54560 z^5 + 8320 z^6) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (11264 + 153855 z - 179404 z^2 + 128536 z^3 - 50400 z^4 + 8320 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