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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=-16/3





http://functions.wolfram.com/07.23.03.4539.01









  


  








Input Form





Hypergeometric2F1[-(17/3), -(16/3), -(9/2), z] == (1/6561) ((1/Sqrt[1 - z]) (9 (729 - 5301 z + 16780 z^2 - 30384 z^3 + 35328 z^4 - 32512 z^5 + 15360 z^6) Cos[ArcSin[Sqrt[z]]/3]) - Sqrt[z] (-2187 + 14364 z - 40400 z^2 + 63744 z^3 - 63744 z^4 + 244736 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