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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=14/3





http://functions.wolfram.com/07.23.03.5420.01









  


  








Input Form





Hypergeometric2F1[-(14/3), 14/3, 3/2, -z] == (3/775) (((249 + 3489 z + 14616 z^2 + 26160 z^3 + 21184 z^4 + 6400 z^5) Cosh[ArcSinh[Sqrt[z]]/3])/Sqrt[1 + z] + ((28 + 1121 z + 7480 z^2 + 17968 z^3 + 17984 z^4 + 6400 z^5) Sinh[ArcSinh[Sqrt[z]]/3])/Sqrt[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