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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=-11/3, b>=a > For fixed z and a=-11/3, b=2/3





http://functions.wolfram.com/07.23.03.5740.01









  


  










Input Form





Hypergeometric2F1[-(11/3), 2/3, 3/2, -z] == (1/8645) (3 (((1943 + 4663 z + 4512 z^2 + 2240 z^3 + 448 z^4) Cosh[ArcSinh[Sqrt[z]]/3])/Sqrt[1 + z] + ((2816 + 3107 z + 3560 z^2 + 2016 z^3 + 448 z^4) Sinh[ArcSinh[Sqrt[z]]/3])/Sqrt[z]))










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