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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=17/3





http://functions.wolfram.com/07.23.03.5951.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 17/3, -(11/2), -z] == (1/(551124 (1 + z)^(15/2))) ((551124 + 2082024 z + 2035152 z^2 - 205376 z^3 + 233528 z^4 - 526064 z^5 + 3564848 z^6 + 18625399 z^7 + 30542408 z^8 + 24356176 z^9 + 9753536 z^10 + 1580800 z^11) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-183708 - 564732 z - 295092 z^2 + 239604 z^3 - 252252 z^4 + 372204 z^5 + 9872031 z^6 + 21527896 z^7 + 20072208 z^8 + 8963136 z^9 + 1580800 z^10) Sinh[ArcSinh[Sqrt[z]]/3])








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