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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=8/3





http://functions.wolfram.com/07.23.03.5328.01









  


  








Input Form





Hypergeometric2F1[-(14/3), 8/3, 3/2, -z] == (1/191425) (3 ((1/Sqrt[1 + z]) ((60523 + 490111 z + 1361220 z^2 + 1746992 z^3 + 1068288 z^4 + 252928 z^5) Cosh[ArcSinh[Sqrt[z]]/3]) + (1/Sqrt[z]) ((9856 + 199943 z + 809292 z^2 + 1307696 z^3 + 941824 z^4 + 252928 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