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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=4/3, b>=a > For fixed z and a=4/3, b=8/3





http://functions.wolfram.com/07.23.03.7916.01









  


  










Input Form





Hypergeometric2F1[4/3, 8/3, -(5/2), z] == (1/(6480 (-1 + z)^6)) ((1/Sqrt[1 - z]) ((6480 - 51696 z + 204752 z^2 - 792240 z^3 - 891489 z^4 + 8602 z^5) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (2160 - 15712 z + 57360 z^2 + 452787 z^3 + 8602 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