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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=-5/3, b>=a > For fixed z and a=-5/3, b=8/3





http://functions.wolfram.com/07.23.03.6718.01









  


  








Input Form





Hypergeometric2F1[-(5/3), 8/3, -(3/2), z] == (1/(27 (-1 + z)^2)) (((27 + 11 z + 45 z^2 - 112 z^3 + 56 z^4) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z] + Sqrt[z] (9 + 10 z - 84 z^2 + 56 z^3) 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