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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=2/3





http://functions.wolfram.com/07.23.03.4702.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 2/3, 9/2, -z] == (243 (Sqrt[z] (-55296 - 593920 z - 3061760 z^2 + 6949877 z^3 + 17385621 z^4 + 12788904 z^5 + 6878376 z^6 + 2489632 z^7 + 540800 z^8 + 53248 z^9) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (165888 + 1732608 z + 8693760 z^2 + 34693120 z^3 + 12927321 z^4 + 10128888 z^5 + 5819720 z^6 + 2239200 z^7 + 514176 z^8 + 53248 z^9) Sinh[ArcSinh[Sqrt[z]]/3]))/(4690180495 z^(7/2) 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