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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=2/3





http://functions.wolfram.com/07.23.03.4681.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 2/3, -(11/2), z] == (1/216513) ((1/Sqrt[1 - z]) ((216513 + 28431 z + 20952 z^2 + 19000 z^3 + 19872 z^4 + 24960 z^5 + 53248 z^6) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (72171 + 60264 z + 54936 z^2 + 52320 z^3 + 51584 z^4 + 53248 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