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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=5/3





http://functions.wolfram.com/07.23.03.5787.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 5/3, 5/2, -z] == (1/(267995 z^(3/2))) (27 (Sqrt[z/(1 + z)] (704 + 8961 z + 23363 z^2 + 26138 z^3 + 13944 z^4 + 2912 z^5) Cosh[ArcSinh[Sqrt[z]]/3] + (-2112 + 3520 z + 14613 z^2 + 20258 z^3 + 12488 z^4 + 2912 z^5) 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