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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=-17/3, b>=a > For fixed z and a=-17/3, b=-10/3





http://functions.wolfram.com/07.23.03.4604.01









  


  










Input Form





Hypergeometric2F1[-(17/3), -(10/3), 7/2, -z] == (81 (Sqrt[z] (-2359296 - 75759616 z + 21955863881 z^2 - 78986429895 z^3 - 1106046296 z^4 + 78499996120 z^5 - 21293113440 z^6 + 119953280 z^7 + 3415040 z^8) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (7077888 + 225181696 z + 7798784000 z^2 - 130472124867 z^3 + 337857210344 z^4 - 224625245000 z^5 + 33224836320 z^6 + 118245760 z^7 + 3415040 z^8) Sinh[ArcSinh[Sqrt[z]]/3]))/(1990768430105 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