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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=-4/3





http://functions.wolfram.com/07.23.03.6599.01









  


  








Input Form





Hypergeometric2F1[-(5/3), -(4/3), 11/2, -z] == (6561 (-3 Sqrt[z] (3456 + 36736 z + 189440 z^2 + 687616 z^3 - 5951315 z^4 - 4926655 z^5 + 1556116 z^6) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (31104 + 321408 z + 1613824 z^2 + 5750272 z^3 + 25711872 z^4 - 48046931 z^5 + 6664012 z^6) Sinh[ArcSinh[Sqrt[z]]/3]))/ (176684241305 z^(9/2) Sqrt[1 + 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