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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=-7/3





http://functions.wolfram.com/07.23.03.5672.01









  


  








Input Form





Hypergeometric2F1[-(11/3), -(7/3), 7/2, -z] == -((81 (Sqrt[z] (73728 + 1490944 z - 168777979 z^2 + 156223507 z^3 + 237496630 z^4 - 88559224 z^5 + 362848 z^6) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-221184 - 4407296 z - 87285760 z^2 + 746421673 z^3 - 794661890 z^4 + 137906552 z^5 + 362848 z^6) Sinh[ArcSinh[Sqrt[z]]/3]))/ (16062203755 z^(5/2) Sqrt[1 + 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