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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/07.23.03.4787.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 8/3, 1/2, z] == (1/14725) ((1/Sqrt[1 - z]) ((14725 - 415969 z + 2364588 z^2 - 5602640 z^3 + 6557696 z^4 - 3774464 z^5 + 856064 z^6) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-106793 + 1076964 z - 3471696 z^2 + 4991488 z^3 - 3346432 z^4 + 856064 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