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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=-8/3, b>=a > For fixed z and a=-8/3, b=11/3





http://functions.wolfram.com/07.23.03.6339.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 11/3, 3/2, -z] == (3/19) ((2 (3 + 19 z + 32 z^2 + 16 z^3) Cosh[ArcSinh[Sqrt[z]]/3])/ Sqrt[1 + z] + ((1 + 18 z + 48 z^2 + 32 z^3) 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