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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=2/3





http://functions.wolfram.com/07.23.03.5222.01









  


  








Input Form





Hypergeometric2F1[-(14/3), 2/3, -(11/2), -z] == (1/(216513 (1 + z)^(3/2))) ((216513 + 214326 z - 12015 z^2 + 6308 z^3 - 4696 z^4 + 4640 z^5 - 8320 z^6) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (72171 + 20655 z - 12996 z^2 + 10136 z^3 - 8800 z^4 + 8320 z^5) 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