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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=-5/3, b>=a > For fixed z and a=-5/3, b=8/3





http://functions.wolfram.com/07.23.03.6733.01









  


  








Input Form





Hypergeometric2F1[-(5/3), 8/3, 11/2, -z] == (1/(15581995 z^(9/2))) (6561 (Sqrt[z/(1 + z)] (-567 - 2031 z - 2146 z^2 - 110 z^3 + 2112 z^4 + 2156 z^5 + 616 z^6) Cosh[ArcSinh[Sqrt[z]]/3] + (1701 + 5589 z + 5006 z^2 - 550 z^3 + 1265 z^4 + 1848 z^5 + 616 z^6) 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