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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=14/3





http://functions.wolfram.com/07.23.03.5920.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 14/3, 3/2, -z] == (3/25) ((8 (1 + 11 z + 34 z^2 + 40 z^3 + 16 z^4) Cosh[ArcSinh[Sqrt[z]]/3])/ Sqrt[1 + z] + ((1 + 32 z + 160 z^2 + 256 z^3 + 128 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