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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=-1/3





http://functions.wolfram.com/07.23.03.5708.01









  


  








Input Form





Hypergeometric2F1[-(11/3), -(1/3), -(5/2), -z] == (1/(405 Sqrt[1 + z])) ((405 + 423 z - 54 z^2 + 152 z^3 + 224 z^4) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-135 - 46 z + 40 z^2 + 224 z^3) Sinh[ArcSinh[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