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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=-2/3, b>=a > For fixed z and a=-2/3, b=-1/3





http://functions.wolfram.com/07.23.03.6996.01









  


  








Input Form





Hypergeometric2F1[-(2/3), -(1/3), -(11/2), -z] == (1/(1515591 (1 + z)^(9/2))) ((1515591 + 6965595 z + 12567366 z^2 + 11004446 z^3 + 4561411 z^4 + 660719 z^5) Cosh[ArcSinh[Sqrt[z]]/3] - 3 Sqrt[z] Sqrt[1 + z] (168399 + 655452 z + 948066 z^2 + 599612 z^3 + 137087 z^4) 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