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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=17/3





http://functions.wolfram.com/07.23.03.4935.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 17/3, 7/2, -z] == (81 (Sqrt[z] (-306 + 5168 z + 2678795 z^2 + 24177141 z^3 + 85088764 z^4 + 151988144 z^5 + 147136000 z^6 + 73811200 z^7 + 15078400 z^8) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (918 - 15776 z + 471716 z^2 + 9120363 z^3 + 45327692 z^4 + 101387344 z^5 + 115884800 z^6 + 66272000 z^7 + 15078400 z^8) Sinh[ArcSinh[Sqrt[z]]/3]))/ (229589255 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