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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=4/3, b>=a > For fixed z and a=4/3, b=14/3





http://functions.wolfram.com/07.23.03.7999.01









  


  








Input Form





Hypergeometric2F1[4/3, 14/3, -(3/2), -z] == (1/(13824 (1 + z)^(15/2))) ((13824 + 161792 z + 1533952 z^2 - 4142413 z^3 - 187714 z^4 - 36584 z^5 - 3808 z^6) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (4608 + 50688 z - 1605095 z^2 + 170850 z^3 + 34680 z^4 + 3808 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