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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=-10/3





http://functions.wolfram.com/07.23.03.4585.01









  


  










Input Form





Hypergeometric2F1[-(17/3), -(10/3), -(11/2), z] == (1/216513) ((1/Sqrt[1 - z]) ((216513 - 863865 z + 1287792 z^2 - 845144 z^3 + 200480 z^4 + 3200 z^5 + 1024 z^6) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (72171 - 237168 z + 267912 z^2 - 108704 z^3 + 3712 z^4 + 1024 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