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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=-2/3, b>=a > For fixed z and a=-2/3, b=2/3





http://functions.wolfram.com/07.23.03.7021.01









  


  








Input Form





Hypergeometric2F1[-(2/3), 2/3, -(9/2), z] == (1/(45927 (-1 + z)^4)) ((1/Sqrt[1 - z]) ((45927 - 204687 z + 351306 z^2 - 279622 z^3 + 89579 z^4 + 4301 z^5) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (15309 - 57456 z + 77846 z^2 - 42268 z^3 + 4301 z^4) 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