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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=7/3, b>=a > For fixed z and a=7/3, b=8/3





http://functions.wolfram.com/07.23.03.8270.01









  


  










Input Form





Hypergeometric2F1[7/3, 8/3, 1/2, z] == (1/(128 (1 - z)^(9/2))) ((128 + 1121 z + 452 z^2) Cos[ArcSin[Sqrt[z]]/3] - 3 (92 Sqrt[1 - z] z^(3/2) + 97 Sqrt[(-(-1 + z)) z]) 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