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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=5/3





http://functions.wolfram.com/07.23.03.4751.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 5/3, 11/2, -z] == (6561 (Sqrt[z] (290304 + 2491392 z + 8832512 z^2 + 14673920 z^3 + 39721011 z^4 + 74555601 z^5 + 76503782 z^6 + 49624808 z^7 + 20304544 z^8 + 4812288 z^9 + 505856 z^10) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-870912 - 7216128 z - 24474112 z^2 - 37652480 z^3 + 20106240 z^4 + 49759215 z^5 + 57940062 z^6 + 41119064 z^7 + 18088096 z^8 + 4559360 z^9 + 505856 z^10) Sinh[ArcSinh[Sqrt[z]]/3]))/ (286101010195 z^(9/2) 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