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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=-14/3, b>=a > For fixed z and a=-14/3, b=17/3





http://functions.wolfram.com/07.23.03.5454.01









  


  








Input Form





Hypergeometric2F1[-(14/3), 17/3, -(9/2), -z] == (1/6561) (-((1/(1 + z)^(11/2)) ((-6561 + 2106 z - 3519 z^2 + 8588 z^3 - 33055 z^4 + 344058 z^5 + 2659774 z^6 + 5975424 z^7 + 6236256 z^8 + 3161600 z^9 + 632320 z^10) Cosh[ArcSinh[Sqrt[z]]/3])) - (1/(1 + z)^5) (Sqrt[z] (2187 - 2241 z + 2918 z^2 - 5170 z^3 + 15015 z^4 + 1195558 z^5 + 3845296 z^6 + 4892576 z^7 + 2845440 z^8 + 632320 z^9) 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